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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 $c$.

  • 1
    What do you have to show for uniform convergence? What function is a candidate for $f_n$ to converge against?2011-05-07
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    Let $f=0$, then for which values of $c$ does $f_n$ converge uniformly to $f$ on $[0,1]$?2011-05-07

1 Answers 1