4. (a) Suppose that ibn} is a sequence of nonnegative numbers that converges to 0, and {Xn}...

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(a) Suppose that ibn} is a sequence of nonnegative numbers that converges to 0, and {Xn} is a real sequence that satisfies IXn - al :s; bn for large n. Prove that Xn converges to a.

(b) What happens to part

(a) if ":s; bn " is replaced by ":S; Cbn " for some fixed positive constant C?

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:08 AM

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4. (a) Suppose that ibn} is a sequence of nonnegative numbers that converges to 0, and {Xn}...

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An Introduction To Analysis

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