Find the positive values of for which the series converges:

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- Apr 6th 2008, 11:43 AMdark_knight_307Convergence with multiple variables
Find the positive values of for which the series converges:

- Apr 6th 2008, 11:53 AMMoo
Hello,

Take a look at this : Bertrand Series ;) - Apr 6th 2008, 11:56 AMMathstud28OK go through with the integral test
= and I think you can see where to go from there...just remmber that it must converge(the integral) for the series to converge..oh yeah and if then the antiderivative is +C

- Apr 6th 2008, 12:05 PMdark_knight_307
But you did it from 1 to infinity, and it is 2 to infinity.......

- Apr 6th 2008, 12:12 PMKrizalid
Do it when and apply the integral test.

- Apr 6th 2008, 12:12 PMdark_knight_307
Lemme check my answer, is it when p > 1?

- Apr 6th 2008, 12:13 PMMathstud28Yes
I think thats right