How would you work out if these series converge or diverge?

Problem 1

n=1 to infinity n!/10^n

Problem 2

n=1 to infinity ((n-2)/n)^n

Problem 3

n=1 to infinity (-2)^n/3^n

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- March 23rd 2009, 05:57 PMTAG16Ratio and Root Test
How would you work out if these series converge or diverge?

Problem 1

n=1 to infinity n!/10^n

Problem 2

n=1 to infinity ((n-2)/n)^n

Problem 3

n=1 to infinity (-2)^n/3^n - March 23rd 2009, 06:11 PMo_O
What exactly are you having troubles with? You are already told which tests to use.

For example, the first one. Let .

Then: - March 24th 2009, 04:35 PMTAG16
still not sure how to do the third problem though....can't use root test because of the negative term. There too many tests....

- March 24th 2009, 06:04 PMskeeter