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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Deepak singh 1 Best Answer
convergence of this series depends on x , so we will found R.O.C .
sir, i want to know one thing..if roc is finite then can we conclude series is convergent
if say roc is infinite then will series diverge
sir pls tell
radius of convergence is always an interval which is always uncountable. It will be finite only if ROC=0.
example (-1,1) here is uncountable
sir then whatever convergence or divergence we get from applying tests say d alemberts ratio test then if series converges by that test then that convergence will be only within inteval of roc what we get ??
https://youtu.be/wOURocjlq14
go through this link
ok sir..
after watching this video , if any doubt then ask.