Question

Do these series converge or diverge?

Answer 1

errr .. there are a lot of tests ... p series test .. ratio test... comparison test.. have to apply at least one of those tests and know their conditions before you can say if the series converges or diverges

Answer 2

3, 5,6, 7 converges ...

Answer 3

also last seems to converge

Answer 4

okay why do 1,2, 4 diverge?

Answer 5

if it doesn't converge then of course it diverges.

Answer 6

btw, i input 3,5,6,7,8 but i got wrong..

Answer 7

http://www.wolframalpha.com/input/?i=NSum%5B2%5E%28-n%5E2%2F%28n+%2B+1%29%29%2C+%7Bn%2C+1%2C+Infinity%7D%5D&dataset=

Answer 8

http://www.wolframalpha.com/input/?i=Sum%5B%28-1%29%5En%2F%28n%29%5E%281%2Fn%29%2C+%7Bn%2C+1%2C+Infinity%7D%5D

Answer 9

http://www.wolframalpha.com/input/?i=NSum%5B2%5E%28-n%5E2%2F%28n%2B1%29%29+%2B+%28-1%29%5En+1%2F+Log%5Bn%21%5D+%2B+n%2F2%5En+%2B+%28Sqrt%5Bn%2B1%5D-Sqrt%5Bn%5D%29%2F%28n%29+%2B+%28%282n%2B3%29%2F%283n%2B5%29%29%5E%28n+-+1%2Fn%29%2C+%7Bn%2C+2%2C+Infinity%7D%5D&dataset=&equal=Submit

Answer 10

test for others as well ... others should not converge

Answer 11

okay! thanks alot! :D