# 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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