Suppose f is continuous at a and assume f(a) > 0. Show that there is a positive

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Suppose f is continuous at a and assume f(a) > 0. Show that there is a positive number δ > 0 for which f(x) > 0 for all values of x in (a - δ, a + δ). (In other words, f is positive for all values of x in the domain of f and in some interval containing a.)

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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