6. Let I be an interval in R, let f: IR, and let cЄ I. Suppose there exist constants K and L such that f(x) L≤K|xc| for x Є I. Show that limf(x) = L. x-c

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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6. Let I be an interval in R, let f: IR, and let cЄ I. Suppose there exist constants K and L such
that f(x) L≤K|xc| for x Є I. Show that limf(x) = L.
x-c
Transcribed Image Text:6. Let I be an interval in R, let f: IR, and let cЄ I. Suppose there exist constants K and L such that f(x) L≤K|xc| for x Є I. Show that limf(x) = L. x-c
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