Teacher says this converges but I keep getting divergence. What am I missing or messing up on?

This is what I get by using integration by parts:

I come up with negative infinity plus a constant = infinity

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- July 9th 2007, 04:31 PMPossible actuaryusing integral test to determine convergence or divergence
Teacher says this converges but I keep getting divergence. What am I missing or messing up on?

This is what I get by using integration by parts:

I come up with negative infinity plus a constant = infinity - July 9th 2007, 04:38 PMJhevon
- July 9th 2007, 04:39 PMThePerfectHacker
Do not use the integral test,

Note that,

And

So it converges. - July 9th 2007, 04:40 PMPossible actuary
- July 9th 2007, 04:41 PMThePerfectHacker
- July 9th 2007, 06:55 PMrualin
- July 9th 2007, 06:56 PMJhevon
- July 10th 2007, 05:07 AMtopsquark
- July 10th 2007, 05:46 AMservantes135
lol smurfs. Hey Smurf! lets go smurf those smurfity smurf smurfs and then smurf the smurfs right out!

aint Smurfing fun! - July 10th 2007, 07:39 AMDivideBy0
Omg it's a smurf! What should I do? Stay or run?