I don't understand how to get the inteveral of convergence from a problem:(adsbygoogle = window.adsbygoogle || []).push({});

for example:

infinity

_

\

/ -(1)^n(x-2)^n/(n*4^n)

_

n=1

I know you have to use ratio test and it comes out to:

|x-2|/4

The textbook says the series converges when |x-2|<4. How did they come to this conclusion? How do you find c? the answer was c=2. The series converges when -2<x<6 and diverges if either x<-2 or x>6. Can someone explain this also? Thanks

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# Power Series - Can someone please help me understand them?

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