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Question: simple asymptotic expansion

Question:simple asymptotic expansion

Marko Riedel 390 Maple
asymptotic asympt
March 02 2013
1

Dear friends,

I wonder how I would go about calculating the asymptotic expansion of

sum(5^j/j, j=1..m+1)?

The motivation for this calculation can be found here. The correct answer is

5/4 5^(m+1)/(m+1).

The classic asympt and the one from multiseries both fail on this one.

Thanks,

Marko Riedel
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