(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that f(x) is a smooth function (i.e. infinitely differentiable)

2. Relevant equations

ln(x) = [itex]\int^{x}_{1}[/itex] 1/t dt

f(x) = ln(x)

3. The attempt at a solution

I was thinking about using taylor series to prove ln(x) is smooth but i'm strictly told to NOT assume f(x) = ln(x) beforehand.

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# Homework Help: Analysis: prove that ln(x) is a smooth function (i.e. infinitely differentiable)

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