Let be a sequence of real numbers such that for prove that the sequence converges.

My first thought was to show that was a Cauchy sequence but am having trouble doing so. Any ideas about what else I should try?

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- Nov 3rd 2007, 07:01 PMputnam120[SOLVED] Convertence
Let be a sequence of real numbers such that for prove that the sequence converges.

My first thought was to show that was a Cauchy sequence but am having trouble doing so. Any ideas about what else I should try? - Nov 3rd 2007, 07:15 PMJhevon
- Nov 3rd 2007, 07:29 PMThePerfectHackerQuote:

Originally Posted by**maokid**

Let be a sequence so that:

Prove that is a convergent sequence.

It is extremely similar to your problem. What Jhevon said is basically the solution, you should use Cauchy sequence. - Nov 3rd 2007, 07:33 PMJhevon
- Nov 3rd 2007, 07:59 PMputnam120
So from the hint I have that

for .

Is that right? - Nov 3rd 2007, 08:05 PMThePerfectHacker
- Nov 3rd 2007, 08:33 PMputnam120
ok i was just being lazy. but thanks 4 all the help. :D