# Does this sequence converge or not [closed]

Determine whether or not the following sequence converges $$(2n)!\over{(n!)^2}$$ Please help me with which method i need to use to prove this

## closed as off-topic by José Carlos Santos, 5xum, Kamil Jarosz, Arnaud D., AquaNov 3 '17 at 16:00

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• It obviously does, 2n! grows faster than n!^2 – mtheorylord Nov 3 '17 at 10:50
• @mtheorylord Which means that it diverges. But you're technically right: any sequence converges or not:) – skyking Nov 3 '17 at 10:52
• – Arnaud D. Nov 3 '17 at 11:30

This is actually the binomial coefficient of $2n$ and $n$, which clearly does not approach any defined value. See this post:
prove that $\frac{(2n)!}{(n!)^2}$ is even if $n$ is a positive integer