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- Mar 12th 2010, 12:00 PMkingwinnerRoot test & Ratio test
- Mar 12th 2010, 12:12 PMadam63
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. - Mar 13th 2010, 04:52 PMkingwinner
- Mar 14th 2010, 04:31 AMadam63
a series can converge ONLY if the sequence converges.

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