does Fn(x)= nx(1 - x^2)^n converge uniformly on [0,1]?(adsbygoogle = window.adsbygoogle || []).push({});

my first instinct was yes it converges uniformly to 0

but I cant seem to show that using the definition.

i get |nx(1 - x^2)^n|<=|nx|<=n for x in [0,1]

any tip or hint would be helpful

thanks

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# Homework Help: Uniform convergence

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