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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- June 28th 2011, 08:23 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. - June 28th 2011, 08:46 AMgirdavRe: Subsequences
Let . For we have and hence if we have .

- June 28th 2011, 08:48 AMPlatoRe: Subsequences
- June 28th 2011, 04:11 PMdwsmithRe: Subsequences
- June 28th 2011, 04:19 PMPlatoRe: Subsequences
- June 28th 2011, 04:47 PMdwsmithRe: Subsequences
- June 28th 2011, 05:41 PMPlatoRe: Subsequences