Hi

i solve a problem about the convergence/divergence of a sequence ..

and i use the trick which in the attachment ..

is my solution correct ?

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- November 10th 2009, 01:06 PMTWiXQuestion about a "trick" to solve a limit of a sequence ..
Hi

i solve a problem about the convergence/divergence of a sequence ..

and i use the trick which in the attachment ..

is my solution correct ? - November 10th 2009, 01:56 PMDrexel28
- November 11th 2009, 04:30 AMTWiX
Yeah ..

Actually if the series Sigma(an) is convergent then the limit of an = 0 - November 11th 2009, 08:25 AMDrexel28
Yes that is true.

So for any spectators what is going on is that**TWiX**is just making the observation that if converges it is necessary for . And of course there are a lot of ways to prove that converges thaty*may*be easier than actually computing .

Compute**Example:**

Note that__Solution:__

Therefore converges by the ratio test. Thus by definition