The Heaviside function is used in engineering applications to model flipping a switch. It is defined as

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The Heaviside function is used in engineering applications to model flipping a switch. It is defined as

(o ifx <0 if x Н(х) : if x 2 0.


a. Sketch a graph of H on the interval [-1, 1].

b. Does limx→0 H(x) exist? Explain your reasoning after first examining limx→0- H(x) and limx→0+ H(x).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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