If we set out to prove the irrationality of the natural logarithm of π (pie), by writing out the Taylor series centered at zero for the function y=π^x, with x=1, we have:(adsbygoogle = window.adsbygoogle || []).push({});

π=1+Sum(ln^k(π)/k!) from k=1 to infinity.

Since we know π is irrational, then ln(π) must be irrational or otherwise π=(a+b)/b

For integer a and b, why is this not correct?

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# What is Wrong With this Idea?

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