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131aw12hw3 - n are sequences such that for all ±> 0...

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Math 131A Problem Set #3 Due February 1 Exercises 9.1(b), 9.4, 9.9, 9.10, 9.11, 9.14 from the textbook. (In 9.14, you can assume the result of 9.12 even though I didn’t assign it.) Additional Problem: Suppose that ( s n ) and (
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Unformatted text preview: n ) are sequences such that, for all ± > 0, there is N ∈ N such that, for all n > N , we have | s n-t n | < ± . Suppose further that ( s n ) converges to s . Prove that ( t n ) also converges to s ....
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