Suppose f is defined for all values of x near a, except possibly at a. Assume for

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Suppose f is defined for all values of x near a, except possibly at a. Assume for any integer N > 0 there is another integer M > 0 such that |f(x) - L| < 1/N whenever |x - a| < 1/M. Prove that lim f(x) = L using the precise definition of a limit.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 09:41 AM

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Suppose f is defined for all values of x near a, except possibly at a. Assume for

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lim f(x) = L

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Let 0 be given Let By assumption there ...View the full answer

Calculus Early Transcendentals

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