The function f in the figure satisfies For each value of , find all values of

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The function f in the figure satisfies = 5. lim f(x) For each value of ε, find all values of δ > 0 such that

|f(x) – 5| < ɛ whenever 0 < |x – 4| < 8. (3)

a. ε = 2

b. ε = 1

c. For any ε > 0, make a conjecture about the corresponding value of δ satisfying (3).

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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