How do I prove this series converges?

ln x/x^(3/2)

I think it converges to 0 by using L'Hopital and limits but am not confident in my solving.

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- Nov 18th 2012, 06:08 AMjnbbieberprove infinite series?
How do I prove this series converges?

ln x/x^(3/2)

I think it converges to 0 by using L'Hopital and limits but am not confident in my solving. - Nov 18th 2012, 06:28 AMHallsofIvyRe: prove infinite series?
Series? Are you summing over x? Is x restricted to the positive integers? Since each term is positive, it certainly

**cannot**sum to 0!

Or do you mean simply a limit? As x goes to what value? Please post the entire statement of the problem. - Nov 18th 2012, 06:30 AMjnbbieberRe: prove infinite series?
sigma x=2 to inf

- Nov 18th 2012, 06:41 AMjnbbieberRe: prove infinite series?
Determine if the series converges.

sigma x=2 to inf, ln(x)/x sqrt x - Nov 18th 2012, 08:12 AMProve ItRe: prove infinite series?
Wolfram says you need to use the Comparison Test, I'm trying to think of a series you could compare it to though...

- Nov 18th 2012, 08:25 AMPlatoRe: prove infinite series?