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Question: numeric integration fails?

Question:numeric integration fails?

digerdiga 390 Maple 18
integration numeric floor indefinite
July 21 2018
1

I tried to integrate

int((1-x^floor(u))/((1-x)*u^2), u = 1 .. infinity, numeric)

where x=-1. The result should be log 2 = 0.6931471806. However it gives me 0.6687714032.

When using a numeric cut off, the result improves, so what is the issue here?

6687714032
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