# Convergence of a power series

• Nov 15th 2006, 03:02 PM
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.

• Nov 15th 2006, 07:57 PM
CaptainBlack
Quote:

$\sum (x-3)^n$
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 $1$.