Suppose that f is a real function. a) Prove that if exists, then |f(x)| |L| as

Question:

Suppose that f is a real function.
a) Prove that if

exists, then |f(x)| †’ |L| as x †’ a.
b) Show that there is a function such that, as x †’ a, |f(x)| †’ |L| but the limit of f (x) does not exist.

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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 03:57 AM

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Suppose that f is a real function. a) Prove that if exists, then |f(x)| |L| as

Question:

L = lim f(x)

Step by Step Answer:

a By Theorem 116 0 j fx L fx L It ...View the full answer

An Introduction to Analysis

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