How can I prove that if , then ?

Can I apply the definition for Cauchy sequences here, or is this a proof for the conditions of Cauchy sequences?

Thanks

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- November 15th 2009, 06:51 AM #1

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- November 15th 2009, 07:01 AM #2

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- November 15th 2009, 07:31 AM #3

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- November 15th 2009, 07:51 AM #4

- November 15th 2009, 08:01 AM #5

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This is what you need: http://www.math.ksu.edu/~nagy/snippets/stolz-cesaro.pdf

The exact result you're trying to prove is in page 2.

Tonio

- November 15th 2009, 08:04 AM #6

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- November 15th 2009, 08:10 AM #7

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- November 15th 2009, 09:59 AM #8

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- November 15th 2009, 11:09 AM #9

- November 15th 2009, 12:14 PM #10

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- November 15th 2009, 01:04 PM #11