I need some homework help for finding the interval of convergence for the series (x/2)^n where n starts at n=0 and ends at n=infinity.

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- Feb 26th 2006, 01:01 PMbsteelIntervals of convergence of power series
I need some homework help for finding the interval of convergence for the series (x/2)^n where n starts at n=0 and ends at n=infinity.

- Feb 26th 2006, 09:33 PMCaptainBlackQuote:

Originally Posted by**bsteel**

Now:

(If you multiply out the product on the Left Hand Side you will find

all but the first and last terms cancel).

So:

Hence

converges if and only if:

converges, and this last expression converges if and only if

or, if and only if:

RonL