Wrong Limit When Using numtheory[sigma]

Question:Wrong Limit When Using numtheory[sigma]

Posted: Vrbatim 118 Product: Maple

November 11 2014

The limit of

G := N -> sum(1/N*numtheory[sigma](k)/k,k=1..N )

as N -> infinity should be Pi^2/6. However

eval( G(N), N=infinity );

returns 0.

Can anyone explain this puzzling behaviour?

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