Let ƒ : R → R be a continuous function satisfying ƒ(0) = 1. Show that there is a € > 0 such that f(x) 0.137 for all x = (-ε, e).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question
Let ƒ : R → R be a continuous function satisfying ƒ(0) = 1. Show that there is a € > 0 such that
f(x) 0.137 for all x = (-ε, e).
Transcribed Image Text:Let ƒ : R → R be a continuous function satisfying ƒ(0) = 1. Show that there is a € > 0 such that f(x) 0.137 for all x = (-ε, e).
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