http://sites.google.com/site/asdfasdf23135/ra20.jpg

Printable View

- March 12th 2010, 11:00 AMkingwinnerRoot test & Ratio test
- March 12th 2010, 11:12 AMadam63
Ratio test : first of all, if , then the sequence does not converge, which means the series surely won't converge.

Same with the root test - if limsup , then , and the sequence diverges, so the series will diverge too. - March 13th 2010, 03:52 PMkingwinner
- March 14th 2010, 03:31 AMadam63
a series can converge ONLY if the sequence converges.

Then, if the sequence diverges, the series will surely diverge :) .