Using a little algebra, we can give our identity a little bit of cachét 
pic.twitter.com/pA6BnM3rUb
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Now plug in your favorite number and let the mathematical beauty flow through you..pic.twitter.com/ahnZCwhoEy
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If you extend to the complex plane, I think this generalizes to all values of x? A quick check on Wolfram Alpha hasn’t disagreed. /shrugpic.twitter.com/0yivYlCvdb
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Hey alright! nice
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You always come with nice ideas, Keep going..
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thank you!
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I have the urge to write 1-x = crazy log series, then 1÷ both sides, and geometric series equals -1/(crazy log thing)... just to make a mess
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This extension is unfortunately not true for all x >0. Remember, the Taylor expansion for e^x is valid for x~0. Therefore, the expansion e^ln(x) will be valid for ln(x) ~ 0; ie. for for x~ -infinity.
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the series expansion for the exponential converges for all x>0
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