Is $f(x) = \sum^{\infty}_{n=1} x^n(1-x^n)$ uniform convergence?

by Niki Sedlarević   Last Updated August 14, 2019 09:20 AM - source

I have function $$f(x) = \sum^{\infty}_{n=1} x^n(1-x^n)$$ So I have to prove, that this function is define on $[0, 1]$ and to simplify notation. Also I have to prove is this function uniform convergence on $[0, 1]$ I know for $x=1$ function is 0, but I do not how to write the function for $[0, 1]$

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