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 PM #1

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- Nov 3rd 2007, 07:15 PM #2

- Nov 3rd 2007, 07:29 PM #3

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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 PM #4

- Nov 3rd 2007, 07:59 PM #5

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- Nov 3rd 2007, 08:05 PM #6

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- Nov 3rd 2007, 08:33 PM #7

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