Posted by Joe on Saturday, September 4, 2010 at 9:39pm.
As n-> infinity, the ratio of successive terms, [(n+1)/n]^2*(1/2), approaches 1/2
Read about the ratio test here (if you are not already familiar with it):
http://en.wikipedia.org/wiki/Ratio_test
That will tell you what the answer is in this case.
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