Hi, just wondering what can i compare: with to show it diverges?

Also, for , how would i apprach this to test divergence/convergence?

Thanks in advance.

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- September 11th 2009, 10:06 PMshinnSeries Comparison test
Hi, just wondering what can i compare: with to show it diverges?

Also, for , how would i apprach this to test divergence/convergence?

Thanks in advance. - September 12th 2009, 12:33 AMmr fantastic
- September 12th 2009, 01:48 AMshinn
Would this be correct?

Consider the inequality as .

But by the p-series test, diverges.

Hence, by the comparison test, must also diverge. - September 12th 2009, 01:58 AMmr fantastic
- September 12th 2009, 03:35 AMshinn
Hi,thanks for your help so far.

But, I don't really get the hint.

I know that a series diverges if you take the limit of the individual term to infinity and doesn't approach to zero.

But,

so its inconclusive?

Regarding my inequality, would it work if i place a fudge factor like:

Also adding to my first question:

What would be the "usual" comparison to compare something like , for different values of p? . - September 12th 2009, 03:41 PMmr fantastic
- September 12th 2009, 04:01 PMTWiX
Sorry for this replay.

but please i want the answer of the first series ?

(1)/([ln n]^9) - September 16th 2009, 05:45 AMmr fantastic