Suppose and . Define a sequence as follows: and . Prove that converges to .

Let . Then such that for we have and .

I don't know what to do now.

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- Jun 28th 2011, 07:23 AMdwsmithSubsequences
Suppose and . Define a sequence as follows: and . Prove that converges to .

Let . Then such that for we have and .

I don't know what to do now. - Jun 28th 2011, 07:46 AMgirdavRe: Subsequences
Let . For we have and hence if we have .

- Jun 28th 2011, 07:48 AMPlatoRe: Subsequences
- Jun 28th 2011, 03:11 PMdwsmithRe: Subsequences
- Jun 28th 2011, 03:19 PMPlatoRe: Subsequences
- Jun 28th 2011, 03:47 PMdwsmithRe: Subsequences
- Jun 28th 2011, 04:41 PMPlatoRe: Subsequences