
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Spivak 6

Transcribed Image Text:(a) Prove the following version of Theorem 3 for "right-hand continuity"
Suppose that lim f(x)-f(a), and f(a) > 0. Then there is a number
δ 〉 0 such that f(x) 〉 0 for all x satisfying 0 x-a ổ. Similarly,
if f (a) < 0, then there is a number δ 〉 0 such that f(x) < 0 for all x
satisfying 0 x-a < δ
(b) Prove a version of Theorem 3 when lim f(x) -f (b)
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