Seeming Coincidences

For the discussion of math. Duh.

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Heptadecagon
Posts: 36
Joined: Mon May 28, 2012 7:11 pm UTC

Seeming Coincidences

Postby Heptadecagon » Sun Jun 10, 2012 12:23 am UTC

While working on a problem I figured that the sum n=1 to infinity (1/(2^(2n-1)*(4n-2)))*(-1)^(n-1) = (arctan(1/2))/2 , and checked it with wolframalpha, but forgot to put the '' *(-1)^(n-1) '' in the input. However I did not realize this, because the answer wolframalpha gave me was (arctanh(1/2))/2 , appearing to be the same thing. And the difference between the two values is a mere .04.... I was confused for a while, and then finally realized my mistake. Has anyone else ever had anything similar ever happen, coincidences and such?

nadando
Posts: 33
Joined: Wed Apr 21, 2010 8:33 pm UTC

Re: Seeming Coincidences

Postby nadando » Sun Jun 10, 2012 1:58 am UTC

I assume you've seen this comic?

Image


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