1. The problem statement, all variables and given/known data
Find the limit of n22n/(n!)
2. Relevant equations
3. The attempt at a solution
First I expand out 2n/(n!) = (2/1)(2/2)(2/3)(2/4)...(2/n) which gets increasingly small as n increases. Now, where does the n2 fit into this? I know the limit to be 0 but I can't get passed this point. Any pointers?
Find the limit of n22n/(n!)
2. Relevant equations
3. The attempt at a solution
First I expand out 2n/(n!) = (2/1)(2/2)(2/3)(2/4)...(2/n) which gets increasingly small as n increases. Now, where does the n2 fit into this? I know the limit to be 0 but I can't get passed this point. Any pointers?
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