how to shpw if it converges or diverges
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Try the integral test. The integral is convergent.
but i have trouble with the integral
but in the denominator another sqrt(k)
You need to use integration by parts with and
Originally Posted by transgalactic converges or diverges This can be done by direct comparison.
Can you show that
Originally Posted by transgalactic
how to shpw if it converges or diverges goes to infinity more slowly than any power of so for large enough there exists a positive constant such that
For the 'Riemann zeta function' is defined as... (1)
... and its derivative is... (2)
... so that is... (3)
Last edited by chisigma; July 12th 2011 at 12:11 PM.
Reason: error of sign... very sorry!...
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