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OpenStudy (anonymous):
Find the radius R and interval of convergence I of the series. \[\sum_{n=1}^{\infty} (4^n(x+2)^n)/\sqrt(n)\] I have the radius as 1/4, which is right, however my interval of (-9/4, -7/4) is wrong. I take the ratio test, and reach |x+2|<1/4. I try to solve the problem from there, and it's not right. Any idea what's wrong?
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