Find an N that works for both sequences.

.

Carry on.

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- Oct 24th 2008, 12:53 PM #1

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## a<c<b

Ok, so {a},{b}, and {c} are sequences such that {a} converges to A, {b} converges to A and a<c<b for all n. prove that {c} converges to A.

I know I need arbitrary epsilon and arbitrary N, but we have 2 different N's. The 2 different N's confuse me. How do I get started?

- Oct 24th 2008, 01:43 PM #2

- Oct 24th 2008, 01:46 PM #3

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- Oct 24th 2008, 01:53 PM #4

- Oct 24th 2008, 02:48 PM #5

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- Oct 24th 2008, 02:53 PM #6