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Yeah, isn't the total just $0.002?

exp(i*pi) = -1
and sum from 1 to infinity of 1/2^n = 1

so you have .002 -1 + 1 = .002.

Plus, that is what was in the video.
 
That was one of the most painful conversations i have ever listened to. I cant believe how uneducated some people are.
 
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