# Convergence of a power series

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• November 15th 2006, 03:02 PM
Chadly724
Convergence of a power series
i am totally stumped on this simple problem...

$\sum (x-3)^n$

i just need to find the radius of convergence.

chadly
• November 15th 2006, 07:57 PM
CaptainBlack
Quote:

Originally Posted by Chadly724
i am totally stumped on this simple problem...

$\sum (x-3)^n$

i just need to find the radius of convergence.

chadly

Looks to me as though it is convergent on $\{x:\ |x-3|<1\}$. Which is
the intereior of a disc centred at $x=3$ of radius $1$.

RonL