Does the following converge?

Thanks in advance,(Bow)

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- Aug 29th 2010, 07:08 AMakolmanConvergence of a sequence
Does the following converge?

Thanks in advance,(Bow) - Aug 29th 2010, 07:16 AMDefunkt
Recall that:

1) converges for

2) for every

And use the comparison test. - Aug 30th 2010, 11:51 AMchisigma
The so called 'Riemann zeta function' is defined as...

, (1)

In You derive the series (1) 'term by term' You obtain...

(2)

... so that is...

(3)

Kind regards