Check Uniform convergence of $\sum _{n=1}^{\infty }(\frac{\ln x}{x})^n$ in $[1,\infty)$
I have hard time trying to check uniform convergence of $$\sum _{n=1}^{\infty }\left(\frac{\ln x}{x}\right)^n$$
one thing that I noticed that it is geometric series so I thought to use Weierstrass M-test but it didn't work with me