Calculus
posted by Anonymous .
Find the radius of convergence of the series from n=0 to infinity of ((9x4)^(2n+1))/(n^(3/2)).
I think it is 5/9.

Calculus 
Steve
the n=0 term makes it diverge.
However, summing from 1 to infinity
As for the radius, you want 1/3 < x < 5/9
because you need (49x)^2 < 1 not just (49x)<1
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