Does the integral converge where .
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Originally Posted by Chandru1 Does the integral converge where . Yes. It's value is . Do you want to see why or do you just want why it's convergent? Well..it doesn't matter until I see that you show some work!
In general is... (1)
... so that is... (2)
Using (2) we obtain... (3)
Last edited by Krizalid; Mar 2nd 2010 at 06:01 AM.
Guys, you're not proving at all that it converges
I don't undestand what needs further demostration...
... may be this step?... (1)
... or may be this?... (2)
Originally Posted by Moo Guys, you're not proving at all that it converges I was hoping the OP would do the proof.
Originally Posted by Drexel28 I was hoping the OP would do the proof. If he asks for it, he must have some reason.
chisigma : you're not proving that it converges, you're supposing it does and calculates it as if it was the case.
the first integral converges by limit comparison test with now put in this integral to get which exists since the integrand has limit as (1)
for we have and (2)
in your integral put and get then by (1) and (2) the conclusion follows.
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