Do removable discontinuities exist? a. Does the function f(x) = x sin (1/x) have a removable discontinuity

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Do removable discontinuities exist?

a. Does the function f(x) = x sin (1/x) have a removable discontinuity at x = 0?

b. Does the function g(x) = sin (1/x) have a removable discontinuity at x = 0?

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Related Book For answer-question

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 09:20 AM

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Do removable discontinuities exist? a. Does the function f(x) = x sin (1/x) have a removable discontinuity

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a Note that 1 sin1x 1 for all x 0 so x x sin1x x for x 0 For x 0 we ...View the full answer

Calculus Early Transcendentals

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