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parent_permlink | hive-128780 |
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author | mes |
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permlink | yzkbeygo |
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title | "True-False Quiz Question 12: A Divergent Series is Also Absolutely Divergent" |
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body | "<center>
[![](https://ipfs-3speak.b-cdn.net/ipfs/bafkreifo4nsgo5zhyrolfaem4c7fwwypfwjcrhusexnobbz5xh6rmkwk3u/)](https://3speak.tv/watch?v=mes/yzkbeygo)
▶️ [Watch on 3Speak](https://3speak.tv/watch?v=mes/yzkbeygo)
</center>
---
In this video I show that a divergent series also means that the absolute value of the series is divergent. This follows from my earlier theorem that an absolutely convergent series is also convergent. Thus if the opposite were true, a divergent series would mean that it would be absolutely convergent, and hence convergent, which is a contradiction! Thus, the answer to the question is True, and a divergent series is also absolutely divergent.
Note that I made a typo in the video, the absolute value sign should be inside the summation series. Nonetheless, I solved it as if was inside.
Time stamps:
- Question 12: 0:00
- Solution: True: 0:13
- Theorem: An absolutely convergent series is also convergent: 1:44
Full video below:
- Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
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---
▶️ [3Speak](https://3speak.tv/watch?v=mes/yzkbeygo)
" |
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json | {"edition":6,"qty":3,"app":"splinterlands/0.7.139","n":"rvZUl8QpIy"} |
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17. | ref_block_num | 32,819 |
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json | {"items":["9006dd71c79a12ccaba14d6f0e0f3921b4f203db-34"],"days":2,"currency":"DEC"} |
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required_posting_auths | |
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id | terracore_claim |
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json | {"amount":"21.30336074","tx-hash":"44rlw0gnalvlrfrakmcss"} |
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20. | ref_block_num | 32,819 |
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1. | voter | limka |
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author | buildawhale |
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permlink | 1,706,155,202,989,565,802 |
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1. | required_auths | |
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required_posting_auths | [] |
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id | ssc-mainnet-hive |
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json | "{"contractName":"tokens","contractAction":"transfer","contractPayload":{"symbol":"STARBITS","to":"foxon","quantity":"0","memo":"Automated Withdrawl"}}" |
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ref_block_prefix | 3,948,762,968 |
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1. | required_auths | |
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json | {"items":[["e8c5c688510f91bcf3703421dcf9ebfa8b4feb0c-0",599],["82671bad0002c0565acc94ccaf80b1b3e4bc605a-0",27.572]],"player":"geppone","list_fee":2,"list_fee_token":"DEC"} |
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23. | ref_block_num | 32,819 |
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ref_block_prefix | 3,948,762,968 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_claim_reward |
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json | {"type":"quest","quest_id":"de7b9142ce385736580a7dde950dba5642bec5ad","app":"splinterlands/0.7.231010"} |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_claim_reward |
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json | {"type":"quest","quest_id":"dc8f5b726584d3d01fc22b6d3deed5e6193724a4","app":"splinterlands/0.7.139","n":"j5GZjRM8HF"} |
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1. | required_auths | [] |
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required_posting_auths | |
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id | beacon_custom_json |
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json | {"ping":"pong","timestamp":"2024-01-25T04:00:00.011Z"} |
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operations | 0. | 0. | claim_reward_balance |
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1. | account | rc-assist |
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reward_hive | 0.000 HIVE |
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reward_hbd | 0.000 HBD |
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reward_vests | 17.414253 VESTS |
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extensions | [] |
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ref_block_prefix | 519,002,021 |
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expiration | 2024-01-25 04:02:00 |
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1. | voter | listnerds |
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author | keritroberts |
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permlink | pre-birthday-shopping-compras-pre-cumpleanos |
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weight | 2,000 |
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28. | ref_block_num | 32,818 |
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expiration | 2024-01-25 04:00:33 |
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operations | 0. | 0. | transfer |
---|
1. | from | archon-mining |
---|
to | discohedge |
---|
amount | 0.025 HIVE |
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memo | "Archon Miner Hive Reward!" |
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---|
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extensions | [] |
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1. | required_auths | |
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required_posting_auths | [] |
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id | sm_market_rent |
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json | {"items":["61db04810c5cfff7980ceabe00da3ccdfc83f8c5-7","87dc0d79bc26a354b8b296fa57ac30793b31e292-2","f5f3fabe9b39d3651189c67a9e9b50062884eca2-64"],"currency":"DEC","days":2,"all_or_none":false,"limit_price":1.5,"app":"splinterlands/0.7.230228","market":"aqualis.market","cb":"xbot","player":"kaethlin"} |
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extensions | [] |
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30. | ref_block_num | 32,818 |
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operations | 0. | 0. | custom_json |
---|
1. | required_auths | |
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required_posting_auths | [] |
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id | ssc-mainnet-hive |
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json | [{"contractName":"market","contractAction":"cancel","contractPayload":{"type":"buy","id":"d0de03a7b79778df7d65ffb39fa2f369eff5bdd4-1"}},{"contractName":"market","contractAction":"buy","contractPayload":{"symbol":"WAIV","quantity":"100","price":"0.13137484"}}] |
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operations | 0. | 0. | custom_json |
---|
1. | required_auths | |
---|
required_posting_auths | [] |
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id | sm_market_rent |
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json | {"items":["33052d19ea9c768ad1b29afec5c6ddeaced5fe1c-40"],"days":7,"currency":"DEC","app":"splinterlands/0.7.139"} |
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block_num | 82,214,964 |
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ref_block_prefix | 2,666,725,900 |
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expiration | 2024-01-25 04:10:06 |
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operations | 0. | 0. | transfer |
---|
1. | from | peak.beacon |
---|
to | peak.beacon |
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amount | 0.001 HIVE |
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memo | "First, solve the problem. Then, write the code - John Johnson (2024-01-25T04:00:00.011Z)" |
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extensions | [] |
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operations | 0. | 0. | custom_json |
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1. | required_auths | |
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required_posting_auths | [] |
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id | ssc-mainnet-hive |
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json | "[{"contractName":"nft","contractAction":"setProperties","contractPayload":{"symbol":"DCROPS","nfts":[{"id":"359037","properties":{"secondary":"{\"p\":[\"Iron Ingot\"]}","tertiary":"{\"t\":[0]}"}}]}}]" |
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---|
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operations | 0. | 0. | custom_json |
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1. | required_auths | |
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required_posting_auths | [] |
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operations | 0. | 0. | custom_json |
---|
1. | required_auths | |
---|
required_posting_auths | [] |
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id | ssc-mainnet-hive |
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json | "{"contractName":"nft","contractAction":"issueMultiple","contractPayload":{"instances":[{"symbol":"STAR","to":"clove71","feeSymbol":"PAL","properties":{"type":"i201 Yellow Trombone","class":"instrument","stats":"0,1,0,0"}},{"symbol":"STAR","to":"clove71","feeSymbol":"PAL","properties":{"type":"158 Geez","class":"people","stats":"10,0,0,2"}},{"symbol":"STAR","to":"clove71","feeSymbol":"PAL","properties":{"type":"R447 TP 20","class":"instrument","stats":"0,50,0,0"}}]}}" |
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---|
1. | required_auths | [] |
---|
required_posting_auths | |
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---|
json | {"ping":"pong","timestamp":"2024-01-25T04:00:00.006Z"} |
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---|
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extensions | [] |
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signatures | 0. | 1f67a13e92804eab34a1147df4a5c5c0aca98bcfda653e54a967347dc0da6c1e892b74c4eb3a80564d8caa754a5b2f71359be0ba46981038ef36ffe7797d5cb0c9 |
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expiration | 2024-01-25 04:20:17 |
---|
operations | 0. | 0. | delegate_vesting_shares |
---|
1. | delegator | tunak |
---|
delegatee | tipu |
---|
vesting_shares | 0.000000 VESTS |
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extensions | [] |
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transaction_id | 77030e36d8f5a3f6bc32c61cda8049504258614c |
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block_num | 82,214,964 |
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transaction_num | 37 |
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38. | ref_block_num | 32,797 |
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ref_block_prefix | 2,073,291,894 |
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expiration | 2024-01-25 04:09:03 |
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operations | 0. | 0. | custom_json |
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1. | required_auths | [] |
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required_posting_auths | |
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id | sm_claim_rewards |
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json | {"app":"splinterlands/0.7.139","n":"o2b6cGAK2e"} |
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extensions | [] |
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transaction_id | c63deb6a84511fd4f18d5622aa446fce270ae56e |
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block_num | 82,214,964 |
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transaction_num | 38 |
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