a) Let [xn) and {yn} be sequences in X which converge to the same point. Prove that

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a) Let [xn) and {yn} be sequences in X which converge to the same point. Prove that p(xn yn) → 0 as n → ∞.
b) Show that the converse of part a) is false.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:16 AM

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a) Let [xn) and {yn} be sequences in X which converge to the same point. Prove that

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a Let a be the common limit point Given 0 choose N N such tha...View the full answer

An Introduction to Analysis

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