a. Assume |f (x)| L for all x near a and Give a formal proof that

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a. Assume |f (x)| ≤ L for all x near a and0. lim g(x) Give a formal proof thatlim (f(x)g(x)) = 0.

b. Find a function f for whichWhy doesn’t this violate the result stated in (a)?

c. The Heaviside function is defined as

Explain why

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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