am trying to find the intervals of convergence for the summation, first deritive, and intergral of problems like this:(adsbygoogle = window.adsbygoogle || []).push({});

the sum of [(-1)^n+1(x-5)^n]/[n5^n] from n=1 to infinity

i know it is an alternating series and thus i am attempting to use that test to find convergence/diverigence

lim as n gose to infinty=0 and asub.n is less than or equal to a

when i try to find the limit, both the top and bottom go to infinity and then i'm trying to use l'hopital rule for an indeterminat form, but thats not wokring too well

maybe i need to use the raito test, but that doesn't seem to work well either

please point me in the right direction

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# Power Series

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