what is the asymptotic constant of

Question:what is the asymptotic constant of

Posted: Lonely 400 Product: Maple

March 10 2011

I am interested in finding the asymptofic constant (Big O(1/n^(2m+2)) for the following expansion

$series((1+1/n)^((1/2)/(sum(1/((2*k+1)*(2*n+1)^(2*k+1)), k = 0 .. m))), n = infinity, 10)$

Upon using the preceding command in the maple i get

Error, (in asympt) unable to compute series

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