Homework Statement
Prove the function:
g(x)=\sum_{n=1}^{\infty }\frac{1}{^{n^{0.5}}}(x^{2n}-x^{2n+1})
is continuous in [0,1].2. The attempt at a solution
I tried to look at this functions as:
g(x)=(1-x)\sum_{n=1}^{\infty }\frac{1}{^{n^{0.5}}}x^{2n}
but I couldn't find a way solving it from...