If lim f(e+h)-f(c) and lim e+h)-f(c) exist but are not equal, then h-0- h+0+ f is not differentiable at c, and the graph of f has a comer at c. Prove that f is continuous at c.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 36E
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If lim f(e+h)-f(c) and lim e+h)-f(c) exist but are not equal, then
h-0-
h+0+
f is not differentiable at c, and the graph of f has a comer at c. Prove that
f is continuous at c.
Transcribed Image Text:If lim f(e+h)-f(c) and lim e+h)-f(c) exist but are not equal, then h-0- h+0+ f is not differentiable at c, and the graph of f has a comer at c. Prove that f is continuous at c.
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