[tex]f_n(x)= x^n/1 + x^n [/tex](adsbygoogle = window.adsbygoogle || []).push({});

does this series converge on the interval [0,1]

Say if x = 1 then the series is < some epslon , where epslon is > 0

but if x = 1 then the value for [tex]f_n(x)[/tex] is constant for all n

but does this still mean the series converges.. even tho the series doesnt get smaller for large values of n.....

if not then it doesnt converge?

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# Analysis + convergence

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