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Math Contest #22 [2 SBI] by quantumdeveloper

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· @quantumdeveloper ·
$1.81
Math Contest #22 [2 SBI]
Here you can keep your brain fit by solving math related problems and also earn [SBI](https://steemit.com/@steembasicincome) or sometimes other rewards by doing so.
The problems usually contain a mathematical equation that in my opinion is fun to solve or has an interesting solution.
I will also only choose problems that can be solved without additional tools(at least not if you can calculate basic stuff in your head), so don't grab your calculator, you won't need it.
*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*
# Rules
#### No upvote, No resteem, No follow required!
#### I will give the SBI(s) randomly to any participants.
#### You have 4 days to solve it.
*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

# Problem
Today I want to try something different: A proof.

Snice I don't know how much experience you have in mathematical proofs I will ignore small logical or syntactical errors in prize distribution.

Proof to me that euler's formula is true:
![Screenshot from 2019-11-09 22-22-58.png](https://cdn.steemitimages.com/DQmTzCgkBd6rqrBVNnHc9MEn67Jmk9TCQ3AJ1HtMaLLeJPj/Screenshot%20from%202019-11-09%2022-22-58.png)

*Tip: You might want to take a look at taylor series.*

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

To everyone who already participated in a past contest, come back today and try a new problem(tell me if you don't want to be tagged):
@addax @ajayyy @athunderstruck @bwar @contrabourdon @crokkon @fullcoverbetting @golddeck @heraclio @hokkaido @iampolite @kaeserotor @masoom @mmunited @mobi72 @mytechtrail @ninahaskin @onecent @rxhector @sidekickmatt @sparkesy43 @syalla @tonimontana @vote-transfer @zuerich

In case no one gets a result(which I doubt), I will give away the prize to anyone who comments.
 
*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

@contrabourdon sponsors my contests with 2 STEEM weekly.
You can support him by [using a witness vote on untersatz](https://v2.steemconnect.com/sign/account-witness-vote?witness=untersatz&approve=1), so he can further support this and other contests.
👍  , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,
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vote details (40)
@crokkon · (edited)
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@kaeserotor ·
![Proof_euler.JPG](https://cdn.steemitimages.com/DQmRBu8qVQfjbj8UvTkTPU5p55oxvo5rCVV2K3Qn3xgXEZN/Proof_euler.JPG)

1. Write as series
2. use power laws to include i into series
3. rewrite the two sums as one sum
4. regroup
5. find that this is the definition of e^(ix)
👍  
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@steemitboard ·
Congratulations @quantumdeveloper! You have completed the following achievement on the Steem blockchain and have been rewarded with new badge(s) :

<table><tr><td><img src="https://steemitimages.com/60x70/http://steemitboard.com/@quantumdeveloper/posts.png?201911092209"></td><td>You published more than 70 posts. Your next target is to reach 80 posts.</td></tr>
</table>

<sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@quantumdeveloper) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=quantumdeveloper)_</sub>
<sub>_If you no longer want to receive notifications, reply to this comment with the word_ `STOP`</sub>


To support your work, I also upvoted your post!


**Do not miss the last post from @steemitboard:**
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