Concepto de límite: Idea intuitiva y ejemplos de límite y continuidad de una función real by carlos84

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hive-196387 · @carlos84 · Sep 18 '20

$3.69

Concepto de límite: Idea intuitiva y ejemplos de límite y continuidad de una función real

![Limite.jpg](https://images.hive.blog/DQmb5iN2xmrzQgewgX8Ukndjoeo8wWWGZkrCWqYBTtdPXr8/Limite.jpg)
<center><sup>[Imagen editada de pixabay](https://pixabay.com/es/photos/fondo-textura-material-gr%C3%A1fico-1988185/)</sup></center>
https://www.youtube.com/watch?v=ldkKU6RxYoA
[Ver en YouTube por @carlos84](https://www.youtube.com/watch?v=ldkKU6RxYoA)

---

<div class="text-justify">

Saludos amigos de la comunidad hive.

En esta oportunidad quiero compartir con ustedes este recurso audiovisual en el que podrán observar la manera en como construyo un concepto de límite de una función real de una forma intuitiva, tomando en cuenta que existe una definición formal de limite pero que es un tanto abstracta, por lo que antes de empezar a realizar algunos ejemplos de cómo resolver limites, es recomendable que mis alumnos de cálculo I del intensivo que se está realizando en la Universidad Experimental Sur del Lago Jesús María Semprum (UNESUR) en donde yo imparto clases puedan tener una idea de lo qué es el límite de una función real.

Una vez que ya se tenga una noción de lo que es el límite de una función real, es el momento idóneo para que visualicen lo concerniente a dos ejemplos del cálculo de limite cuando la función es continua para un punto específico y otro ejemplo para cuando la función es discontinua evitable.

Sin más que agregar mi invitación es a que visualicen el vídeo en mención, me despido de ustedes hasta una próxima entrega.

---

[Ver en Youtube por @carlos84](https://www.youtube.com/watch?v=ldkKU6RxYoA)

</div>

👍 steemstem, kpine, minnowbooster, howo, eonwarped, ctime, asa-raw, roelandp, onthewayout, curie, zuerich, entropia, dhimmel, lemouth, ew-and-patterns, intrepidphotos, goblinknackers, postpromoter, mcsvi, lunaticpandora, bloom, babysavage, payroll, nathanpieters, hf19, stem-espanol, caciques, arcange, firstamendment, plankton.token, stem.witness, stayoutoftherz, cryptosharon, techslut, activate.alpha, walterprofe, ibt-survival, carlos84, meanbees, mobbs, hendrikdegrote, takowi, abigail-dantes, holbein81, yehey, sco, sankysanket18, alexdory, meno, emiliomoron, anaestrada12, acont, rbalzan79, helo, tomastonyperez, crowdwitness, carloserp-2000, sandracarrascal, amestyj, doikao, wolven-znz, stemng, scholaris, hispapro, and 357 others

properties (23)vote details (421)

voter	rshares	pct
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chris4210	8,124,362,402	1.3%
scalextrix	560,584,689	1.3%
justtryme90	786,994,787	20%
eric-boucher	5,437,270,159	1.3%
anwenbaumeister	91,753,380	2.6%
albertogm	3,154,895,067	90%
mammasitta	1,749,042,018	0.26%
roelandp	549,241,398,554	10%
matt-a	622,352,775	1.5%
onthewayout	540,558,793,105	100%
arcange	61,139,723,201	2%
raphaelle	1,802,144,126	2%
djennyfloro	1,289,741,788	10%
kpine	1,993,092,963,020	10%
rmach	7,004,646,474	10%
sc-steemit	394,185,062	1.3%
lemouth	269,775,768,571	15%
notconvinced	10,540,415,129	20%
charlie777pt	2,022,161,932	5%
alaqrab	1,511,317,274	1.3%
lamouthe	1,653,187,479	20%
uwelang	12,969,916,753	1.3%
tfeldman	2,336,714,003	1.3%
mcsvi	112,382,783,332	50%
lk666	1,163,331,181	1.3%
cnfund	967,447,895	1.3%
curie	462,856,509,123	2.6%
modernzorker	1,248,046,787	1.82%
reddust	3,902,730,206	0.78%
techslut	45,122,320,508	8%
hendrikdegrote	33,873,734,355	2.6%
steemstem	2,121,428,697,376	20%
tristancarax	2,915,227,196	1.3%
zorg67	602,160,351	100%
yadamaniart	821,128,533	1.3%
apsu	1,595,816,203	0.91%
valth	2,441,411,602	10%
lastminuteman	555,944,908	0.91%
driptorchpress	1,168,398,017	1.3%
dna-replication	5,758,805,995	20%
steemitboard	3,452,770,252	2%
ambyr00	2,124,659,273	0.39%
nasgu	2,840,359,880	2.6%
dhimmel	324,063,689,230	5%
damla	673,186,507	1.3%
bloom	102,448,979,355	20%
federacion45	2,811,901,826	1.3%
iansart	4,179,298,795	1.3%
mobbs	35,829,071,005	10%
activate.alpha	43,680,766,196	5%
cacalillos	1,059,723,416	0.78%
farizal	4,157,888,550	12%
ironshield	831,311,923	1.3%
sustainablyyours	1,059,232,512	1.3%
yehey	25,042,818,054	2.6%
helo	17,673,817,622	10%
samminator	11,720,022,931	10%
locikll	1,032,004,076	5.2%
lorenzor	6,907,714,515	50%
firstamendment	50,809,819,947	50%
alexander.alexis	12,037,802,788	20%
jayna	1,664,769,117	0.52%
ew-and-patterns	179,194,869,239	9%
hhayweaver	912,770,995	1.3%
gunthertopp	9,412,031,173	0.2%
binkyprod	897,005,629	1.3%
ludmila.kyriakou	1,379,357,493	6%
flatman	1,895,206,732	2.6%
simonpeter35	1,268,595,905	100%
minnowbooster	1,884,216,219,069	20%
howo	896,034,936,475	20%
tsoldovieri	2,014,861,039	10%
neumannsalva	1,008,001,791	1.3%
stayoutoftherz	46,346,348,842	1.3%
abigail-dantes	26,596,961,161	20%
carlos-fernando	4,671,492,892	40%
sciencevienna	8,391,499,453	11%
yacobh	3,420,647,212	28%
redrica	1,447,115,349	1.3%
iamphysical	7,015,796,536	100%
felixrodriguez	550,093,207	10%
betterthanhome	4,586,509,636	1.3%
revo	10,512,102,972	2.6%
azulear	2,117,566,307	50%
noloafing	2,243,239,573	5%
thelordsharvest	4,278,911,093	2.6%
massivevibration	9,514,479,310	5%
holbein81	25,543,726,382	2.21%
trevorpetrie	1,068,368,430	1.3%
torico	587,847,035	0.85%
yangoldberg	5,628,157,040	2.6%
migueliglesias	2,594,621,940	80%
sawcraz.art	1,587,321,268	40%
mballesteros	595,027,529	1.3%
minnowpowerup	561,108,965	1.3%
revisesociology	3,575,356,628	0.26%
takeru255	1,160,201,492	40%
plantstoplanks	1,173,879,287	0.52%
cryptononymous	775,563,216	1.3%
upme	1,309,723,246	1.3%
gotgame	2,221,623,290	10%
braveboat	2,454,700,492	8%
jlsplatts	9,445,989,711	1%
meno	22,120,058,585	1.3%
buttcoins	1,867,494,315	0.52%
toocurious	857,000,581	1.3%
fatkat	653,731,683	1.29%
nathanpieters	82,222,497,131	50%
stevejhuggett	10,129,038,804	20%
enzor	922,007,294	20%
carloserp-2000	16,473,820,715	100%
carlos84	36,065,895,304	100%
lays	2,708,323,723	1.3%
gra	1,776,305,690	20%
joseph1956	1,529,840,790	5%
eonwarped	862,569,599,538	30%
postpromoter	123,807,188,556	2.6%
diverse	1,861,994,331	1.3%
omstavan	7,884,926,346	100%
steveconnor	1,613,732,028	1.3%
sankysanket18	23,110,228,043	10%
drmake	1,446,246,918	1.3%
danile666	3,014,280,039	2.47%
elisonr13	1,134,116,788	5%
lmir1965	541,655,219	40%
amestyj	15,423,348,292	100%
sandracarrascal	16,105,620,894	100%
kenadis	5,430,022,713	20%
steempsych	828,771,382	20%
robotics101	5,942,347,099	20%
rpcaceres	6,732,036,997	40%
fourfourfun	2,877,369,494	10%
sco	23,596,290,531	20%
ennyta	975,525,886	50%
stahlberg	569,915,441	1.3%
gabrielatravels	765,325,912	0.52%
vjap55	1,101,792,485	100%
eliaschess333	3,360,667,931	50%
iamjadeline	886,485,996	0.39%
intrepidphotos	176,639,973,064	4%
mervin-gil	545,628,175	40%
fragmentarion	4,061,519,948	20%
gaming.yer	1,861,224,521	100%
bennettitalia	564,100,575	0.65%
hadji	12,724,954,719	100%
terrylovejoy	3,787,738,463	8%
sincroniadivina	1,755,372,082	5%
sawko	2,442,977,350	100%
sportscontest	893,791,672	2.6%
leoumesh	672,425,718	2.6%
stemng	14,751,084,087	20%
rbalzan79	17,701,093,387	100%
lunaticpandora	112,213,107,489	10%
miguelangel2801	788,530,969	50%
isisfemale	1,231,734,580	100%
didic	1,153,670,094	1.3%
joseleogon	1,310,935,818	100%
cryptosharon	46,167,524,713	40%
emiliomoron	21,945,368,046	50%
beverages	4,023,402,380	1.3%
dexterdev	681,487,533	10%
verhp11	1,161,733,185	1%
oghie	812,558,959	50%
photohunt	3,229,386,317	2.6%
geopolis	1,300,081,461	20%
robertbira	2,130,245,584	5%
yooerlyn	587,907,021	50%
stk-g	501,647,841	2.6%
alexdory	22,197,220,411	20%
takowi	33,088,759,487	2.6%
flugschwein	8,005,954,058	17%
lightflares	2,503,572,694	1.3%
doikao	15,208,698,786	2.6%
francostem	2,746,057,184	20%
kitalee	1,267,660,074	1.3%
endopediatria	692,942,047	20%
forester-joe	691,427,932	1.5%
vicesrus	3,304,548,824	1.3%
croctopus	1,495,996,664	100%
zipporah	1,282,414,895	0.52%
idkpdx	118,965,549	1.3%
djoi	931,094,354	10%
norwegianbikeman	6,440,206,996	5%
isgledysduarte	2,942,127,764	50%
miroslavrc	874,540,246	0.65%
wisejg	548,707,730	40%
bscrypto	4,624,537,631	1.3%
vonaurolacu	545,745,912	1.3%
scottcbusiness	804,862,871	1.3%
tomastonyperez	16,949,610,788	50%
marcus0alameda	539,258,591	30%
elvigia	11,104,719,604	50%
sanderjansenart	1,305,140,129	1.3%
vittoriozuccala	749,550,947	1.3%
qberry	1,341,366,948	1.3%
lesmouths-travel	1,171,343,687	15%
rambutan.art	608,177,016	2.6%
greddyforce	878,878,610	0.96%
braaiboy	4,457,673,764	1.95%
carolinacardoza	5,024,615,428	5%
blainjones	531,462,091	0.52%
tonimontana	295,496,255	11.43%
jordangerder	1,065,491,267	5%
eniolw	3,003,464,226	100%
de-stem	11,961,530,354	19.8%
serylt	877,114,898	19.6%
josedelacruz	9,055,838,465	50%
joseangelvs	504,019,439	100%
payroll	90,385,382,136	2%
andrewharland	1,168,169,203	2.6%
mariusfebruary	6,151,036,016	1.04%
hansdewet	496,892,259	2.6%
bitsisteem	767,180,782	100%
menoski	2,202,804,452	10%
meanbees	35,972,621,795	10%
entropia	345,616,860,207	100%
gracielaacevedo	6,480,332,097	50%
incubot	2,605,532,010	1.95%
deholt	1,128,426,029	17%
gwilberiol	4,678,634,529	2.34%
stevenwood	601,209,622	0.86%
ojap02	1,084,109,910	100%
temitayo-pelumi	1,559,500,781	20%
andrick	857,347,921	50%
yusvelasquez	5,810,123,676	50%
motherofalegend	2,566,438,734	10%
doctor-cog-diss	782,686,733	20%
musicvoter2	3,718,458,580	1%
marcuz	635,377,651	10%
itastem	3,332,663,945	20%
acont	19,769,230,544	75%
uche-nna	2,606,577,781	2.08%
petterjosph	1,502,526,475	70%
lightcaptured	1,467,400,780	0.85%
schroders	1,016,704,736	0.78%
anaestrada12	21,257,930,104	100%
citizendog	3,183,689,214	2.6%
darkfemme	4,916,715,431	40%
elmundodexao	5,823,818,400	40%
blewitt	3,218,048,310	0.13%
mindblast	1,496,874,801	1.3%
urdreamscometrue	9,440,828,320	60%
yomismosoy	954,359,353	20%
lauracguzman	870,629,670	100%
bflanagin	1,589,276,165	1.3%
libe	448,199,095	50%
ubaldonet	1,829,970,269	70%
jesusmedit	3,648,826,698	39.6%
cyberspacegod	1,318,732,835	40%
goblinknackers	154,516,939,542	4%
juancrdrums	746,719,027	100%
zuerich	411,521,017,578	8%
jk6276	0	1%
reinaseq	1,831,851,782	30%
kylealex	4,601,407,389	10%
indianapatt	779,678,237	40%
nancybmp	1,315,778,464	36%
artmedina	13,198,863,309	40%
loveforlove	1,279,288,970	20%
fran.frey	4,172,513,702	50%
perpetuum-lynx	572,425,540	19.6%
andreasalas	1,554,512,781	10%
fabielblanchard	1,240,353,975	100%
adoptad0	544,222,190	40%
pboulet	3,290,720,994	10%
perazart	4,692,589,081	40%
belkisa758	6,252,698,907	10%
severianx	574,150,206	50%
marcocasario	4,192,487,341	1.3%
stem-espanol	76,450,331,186	100%
laissez-faire	119,689,719	100%
babysavage	91,380,683,622	100%
anira.art	6,473,811,846	40%
noritza	643,529,328	50%
the.success.club	1,215,335,259	1.3%
javier.dejuan	1,532,813,482	20%
meanroosterfarm	4,133,152,287	10%
scienze	4,143,273,181	20%
scienza	4,187,230,489	20%
dubignyp	1,025,482,383	20%
brianoflondon	4,907,589,528	0.39%
giulyfarci52	1,705,502,434	50%
florino	2,115,589,190	37.5%
eliasseth	2,796,038,115	50%
universoperdido	9,483,002,222	32.5%
jjmarquez	1,493,041,780	50%
abneagro	8,710,989,871	100%
solarphasing	535,037,612	5%
the-rhapsodist	8,962,872,938	20%
stem.witness	48,977,438,000	20%
alfarofranudy	3,924,297,331	50%
empressteemah	492,078,810	20%
victoria97	575,942,323	35%
veronik28dic	1,044,789,329	40%
elkaos	2,010,727,106	100%
chaman10	3,420,705,601	50%
robmojo	4,800,903,200	2%
wilmer14molina	3,819,462,754	50%
angelik-a	871,382,415	5%
vaultec	3,048,224,432	12%
daniel2001	4,120,744,572	20%
aqua.nano	10,277,711,319	100%
jtm.support	1,457,952,337	20%
rafaelj	1,198,070,354	50%
loliver	865,886,019	2.6%
blackbird24	537,249,159	40%
crowdwitness	16,476,964,630	10%
ctime	808,882,864,019	5%
kikegil	839,919,052	50%
hairgistix	1,277,203,997	1.3%
rem-steem	1,032,808,218	0.52%
limka	390,457,323	100%
ficcion	4,252,412,450	37%
carl3	1,113,816,406	50%
mauricioteran	1,327,054,589	50%
lefty619	5,261,793,052	2.6%
cryptofiloz	5,155,107,212	2.6%
issymarie	7,444,462,692	20%
steemitfn	1,060,550,682	40%
epicdice	5,752,987,857	0.78%
yiobri	1,490,849,401	5%
scholaris	14,007,295,316	5%
vmbenitezz	3,692,609,510	50%
yourfuture	1,832,501,523	14%
fractalfrank	3,175,205,086	1.3%
plankton.token	49,609,383,880	75%
tggr	3,018,820,354	7.5%
quintaesencia	7,724,231,057	100%
walterprofe	38,786,424,143	100%
victoriaxl	2,691,217,670	70%
zeruxanime	8,896,980,936	50%
titan-c	722,041,851	2.6%
juancho10	6,477,623,299	10%
mariolbi	720,933,112	5%
gassa28	747,406,008	20%
reggaesteem	633,080,183	5%
partitura.ccc	300,277,337	100%
liambu	820,115,440	10%
capp	7,518,905,631	50%
geohagasconjr	852,209,591	100%
eulymer	2,341,354,723	20%
jesus68	4,569,021,223	50%
nazer	4,317,298,173	20%
caciques	64,039,601,491	37%
renataboreal	5,745,030,854	50%
lcrestrepo	1,028,602,159	20%
vxc.stem	0	11.43%
urtrailer	1,195,163,400	0.25%
joshmania	5,515,021,832	5%
steemstem-trig	1,538,849,040	20%
tonimontana.neo	0	0.77%
hispapro	13,519,016,699	10%
herzinfuck	1,129,450,152	1.3%
axel-blaze	3,752,413,073	0.26%
nucleo-fse	7,162,632,609	40%
ibt-survival	38,450,635,039	10%
yourtop3	4,069,516,693	1.04%
hjmarseille	1,952,383,816	14%
roamingsparrow	2,432,695,350	1.95%
toni.ccc	27,858,482	1.1%
steemlatintrail	3,356,713,985	100%
neoado	3,259,701,972	100%
toni.pal	0	1.41%
josemengele	542,333,068	40%
bilpcoinbpc	1,357,110,892	15%
disagio.gang	645,948,895	2.6%
mengene	772,010,759	10%
theisacoin	993,880,458	10%
fengchao	2,522,027,204	2%
hornetsnest	1,857,971,894	1.3%
wolven-znz	15,157,486,949	17%
thepeakstudio	577,897,617	1.3%
yuurinbee-znz	10,747,646,321	17%
stemsocial	4,109,794,211	20%
robertsv	3,969,208,232	50%
hivevenezuela	1,449,608,859	100%
hive.consultant	3,378,285,327	2.08%
edwin-doncel	3,910,389,892	40%
kyleana	2,422,442,107	50%
the100	1,497,701,196	1.3%
meppij	1,373,828,720	0.39%
hf19	77,791,669,856	100%
rihc94	574,592,487	1.3%
shinyrygaming	909,503,761	10%
forensic911	22,822,630	100%
actioncats	2,791,477,221	33%
hive-101493	722,482,278	10%
hivebtc	1,166,893,712	100%
joseq1570	1,575,519,248	70%
mtzrene	4,860,597,964	100%
constantinopla	1,173,113,608	100%
bellaciao	1,168,185,504	100%
jesucristo	1,172,174,331	100%
asa-raw	739,320,911,306	20%
yodinzaku	1,171,423,546	100%
lordarianthus	1,171,173,937	100%
spiritminer	1,170,781,809	100%
malenavargas	9,648,152,332	100%
drfate	1,170,848,895	100%
confucio	1,170,653,429	100%
splintergod	1,170,393,498	100%
magnor	1,169,938,547	100%
patriciaurbaneja	911,876,243	50%
meele	1,169,153,176	100%
kretchtallevor	1,169,118,254	100%
manuelsierra	2,666,961,671	100%
onyxsentinel	1,166,898,987	100%
khymeria	1,166,694,656	100%
sicmundus	1,166,725,177	100%
lainiwakura	1,165,533,735	100%
roymustang	1,165,566,713	100%
darkarmy	1,165,569,587	100%
reiayanami	1,165,356,806	100%
kaiosama	1,165,688,492	100%
pitagoras	1,165,600,680	100%
steinitz	1,165,139,990	100%
questcrypto	5,439,279,369	0.65%
chaodietas	777,174,129	75%
anillounico	1,763,290,483	100%
hannymarchan	545,985,802	100%

@entropia · Sep 18 '20

re-concepto-de-l-mite-idea-intuitiva-y-ejemplos-de-l--1600404304

<div><p><strong>¡Felicitaciones!</strong></p><hr /><div class='text-center'><a href='https://hive.blog/trending/hive-180318'><img src='https://steemitimages.com/0x0/https://s7.postimg.cc/wif5wzgbv/finnalcoment.png'/></a></div><hr /><div class='text-justify'>Estás participando para optar a  la <b>mención especial</b> de nuestra <a href='https://hive.blog/trending/hive-180318'>COMUNIDAD (Recompensa de 1 Hive)</a>, también <b>has recibido 1 <a href='https://hive.blog/entropia/@entropia/enhorabuena-estamos-de-aniversario-y-anunciamos-oficialmente-el-lanzamiento-de-entroken-entro-un-nuevo-token-una-nueva'>ENTROKEN</a></b>.</div><hr /><div class='text-justify'><p>1. <b>Invierte en el PROYECTO ENTROPÍA y recibe ganancias semanalmente</b>. Entra <a href='https://hive.blog/entropia/@entropia/nm7zz-invierte-en-entropia-y-obten-un-10-95-de-ganancia-de-tu-delegacion-de-hive-power-recibiendo-tu-pago-de-forma-automatica'>aquí</a> para más información.</p></div><div class='text-justify'>2. Contáctanos en Discord: <a href='https://discord.gg/hkCjFeb' rel='noopener' title='This link will take you away from steemit.com'>https://discord.gg/hkCjFeb</a><br/><p>3. Suscríbete a nuestra <a href='https://hive.blog/trending/hive-180318'>COMUNIDAD</a>, apoya al trail de @Entropia y así podrás ganar recompensas de curación de forma automática. <a href='https://hive.blog/entropia/@entropia/3kq4ti-gana-recompensas-de-curacion-de-forma-automatica-con-nosotros-unete-al-trail-del-proyecto-entropia'>Entra aquí para más información sobre nuestro trail</a>.</p></div><p>4. Creación de cuentas nuevas de Hive <a href='https://hive.blog/entropia/@entropia/una-nueva-forma-de-uso-del-entroken-servicio-de-creacion-de-cuentas-de-steemit-mediante-el-proyecto-entropia'>aquí</a>.</p><p>5. Visita nuestro canal de <a href='https://www.youtube.com/channel/UCJI9zlYwJMQ4NlFUbBR0-pw'>Youtube</a>.</p><div class='text-center'><p>Atentamente</p><p><strong><em>El equipo de curación del PROYECTO ENTROPÍA</em></strong></p></div>

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@carlos84 · Sep 18 '20

Muchas gracias por el constante apoyo al equipo de entropia. Saludos

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@hannymarchan · Sep 18 '20

Me parece muy bien construir una definición mas fácil de digerir para quienes están comenzando el estudio de Calculo I, ya que en esa etapa se presentan muchos temores y predisposición en esta área. 

Excelente @carlos84

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@carlos84 · Sep 18 '20

Hola @hannymarchan.

Ciertamente creo que la idea intuitiva de limite es una mejor forma para crear un concepto que el de la definición formal de límite, también es importante que se maneje esta idea antes de iniciar con la parte de ejercitación de limites y de esta forma estar más consciente en su abordaje. 

Muchas gracias por tu aporte. Saludos

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@mtzrene · Sep 18 '20

Buen ejemplo profesor, justo en bachillerato comencé a ver este tema de límites de una forma intuitiva.

Saludos!

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@carlos84 · Sep 19 '20

Muchas gracias por el constante apoyo amigo. Saludos

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@poshbot · Sep 18 '20

https://twitter.com/CARLOSJB84/status/1306818005268148225

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@steemstem · Sep 18 '20

re-carlos84-concepto-de-l-mite-idea-intuitiva-y-ejemplos-de-l--1600404304-20200918t184017253z

<div class='text-justify'> <div class='pull-left'>
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Thanks for your contribution to the STEMsocial community. Feel free to join us on discord to get to know the rest of us!

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@carlos84 · Sep 18 '20

Gracias por el apoyo al equipo de StemSocial. Saludos

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