does $f_n=$$x^n\over \sqrt[4]{n} $ converges uniformly for x $\in$[0,1]
I find a hard tim finding $f(x)$ is it 0 for x $\in$[0,1] the problem is at $f(1)$ is it 0 or $\infty$ From the graph it looks like it converges uniformly but is it correct, if so what is $f(x)$
Hint: $0 \le f_n(x) \le f_n(1)$. What does $f_n(1) = 1/\sqrt[4](n)$ do as $n \to \infty$?