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Question: I have a problem with a sequence defined by a Riemann Sum and other terms

Question:I have a problem with a sequence defined by a Riemann Sum and other terms

Juanano 5 Maple
sequence
September 30 2013
1

I have this sequence:

D[n] = (Sum((n-k)/(k+1),k = 0 .. n-1)-ln(n!))/n;

How can I put  this in maple, assess if it converges or not and if it is possible, calculate the limit to infinity.

 

Thanks
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