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.
The series you are interested in the convergence of may be written: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