Assume $f_n(x) = n^cx(1-x^2)^n$
For which values of $c$ does ${f_n(x)}$ converge uniformly on $[0,1]$?
This is only part of the problem, I have already proven that ${f_n}$ converges pointwise on $[0,1]$ for all $c$.
Assume $f_n(x) = n^cx(1-x^2)^n$
For which values of $c$ does ${f_n(x)}$ converge uniformly on $[0,1]$?
This is only part of the problem, I have already proven that ${f_n}$ converges pointwise on $[0,1]$ for all $c$.