Evaluate the following problem and determine if it converges or diverges. If it converges, calculate what it converges to.

I know the answer is that it conveges to -1, but wouldn't it diverge since I end up with ?

Thanks!

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- Feb 22nd 2011, 06:38 AMdbakeg00Improper Integrals - Convergence/Divergence
Evaluate the following problem and determine if it converges or diverges. If it converges, calculate what it converges to.

I know the answer is that it conveges to -1, but wouldn't it diverge since I end up with ?

Thanks! - Feb 22nd 2011, 06:42 AMProve It
First of all, I don't know why you switched the order of the terminals...

Second, is of the indeterminate form .

So rewrite it as , which is now of the form and L'Hospital's Rule can be used. - Feb 22nd 2011, 08:25 AMdbakeg00