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Possible Duplicate:
Another Evaluating Limit Question

What happens to the sequence $a_n=\frac{3\cdot 5\cdot7\cdot\ldots\cdot (2n-1)}{2\cdot 4\cdot 6\cdot\ldots\cdot 2n}$ as $n$ tends to $\infty$? Would appreciate a sort of "proofish" thing. Thanks in advance.

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    What happens to $b_n=\log(a_{n+1})-\log(a_n)$ when $n\to\infty$?2012-05-04
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    The title of the duplicate is definitely better than the other title.2012-05-04
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    Maybe [this](http://math.stackexchange.com/questions/936236/sum-of-the-series-frac12-cdot-4-frac1-cdot32-cdot4-cdot6-dots) is somewhat related2014-09-18

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