Wednesday, 12 October 2016

real analysis - Limit (nan) of sequence an+1=sqrtn2an


Consider the sequence {an}n=1 defined recursively by
an+1=n2an with a1=1. Compute limn(nan)





I am having trouble with this. I am not even sure how to show the limit exists. I think if we know the limit exists, it is just algebra, but I'm not sure.

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