I have already posted this question but I accidentally asked for the nature of the 'series', where as I wanted someone to help me with,

how I can tell if the following sequences {a_{n}} diverge or converge? And how to justify it?

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- Apr 16th 2013, 04:48 PMcalmo11Nature of the sequence
I have already posted this question but I accidentally asked for the nature of the 'series', where as I wanted someone to help me with,

how I can tell if the following sequences {a_{n}} diverge or converge? And how to justify it?

Attachment 27984 - Apr 16th 2013, 06:30 PMchiroRe: Nature of the sequence
Hey calmo11.

The first thing you should do is list the type of series (alternating, non-alternating in sign) and list the different kinds of tests for that particular series. Can you do this to start off with? - Apr 16th 2013, 06:35 PMSorobanRe: Nature of the sequence
Hello, calmo11!

Quote:

How I can tell if the following sequences diverge or converge? And how to justify it?

If the limit is finite, the sequence converges.

Quote:

We see that: .

The sequence converges.

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Divide numerator and denominator by

Then: .

The sequence converges.

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Multiply by

. .

Then: .

The sequence converges.