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?

Printable View

- Nov 3rd 2007, 08:01 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, 08:15 PMJhevon
- Nov 3rd 2007, 08:29 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, 08:33 PMJhevon
- Nov 3rd 2007, 08:59 PMputnam120
So from the hint I have that

for .

Is that right? - Nov 3rd 2007, 09:05 PMThePerfectHacker
- Nov 3rd 2007, 09:33 PMputnam120
ok i was just being lazy. but thanks 4 all the help. :D