Converge or Diverge?

I'm not sure how to go about solving these...help?

1. Sigma (Sqrt(2n+1) - Sqrt(2n))

n = 1, and goes to infinity

1. Sigma (1/(Sqrt(n)ln (n)))

n= 2, and goes to infinity

thanks.

Printable View

- Nov 14th 2008, 01:24 PMskabaniseries
Converge or Diverge?

I'm not sure how to go about solving these...help?

1. Sigma (Sqrt(2n+1) - Sqrt(2n))

n = 1, and goes to infinity

1. Sigma (1/(Sqrt(n)ln (n)))

n= 2, and goes to infinity

thanks. - Nov 14th 2008, 01:55 PMMathstud28
- Nov 14th 2008, 02:03 PMskabani
thanks.

could we also use the limit comparison test and compare the series to 1/Sqrt(n), where c>0, and the series would diverge? - Nov 14th 2008, 02:30 PMMathstud28
- Nov 14th 2008, 02:37 PMskabani
ok

wait, so the original series converges then? - Nov 14th 2008, 02:50 PMMathstud28