(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] unif. conv. of fx=Σc_n*x^n on |x|<h implies unif. conv. on |x|<=h???

my whole question is on the title..uniform convergence of power series..

The answer is yes..how can I prove that? help me lol

and I`d like to know..the existence of limit..

[1 3 5 ''' (2n-1)]/[2 4 6 ''' (2n)] -> ???? as n goes infinity..

(sorry for my bad Eng..)

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# Unif. conv. of fx=Σc_n*x^n on |x|<h implies unif. conv. on |x|<=h?

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