A Discontinuous Derivative Use the limit definition to show that g'(0) exists but gʻ(0) # lim g'(x), where 1 x +0 x² sin – g(x) = x = 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A Discontinuous Derivative Use the limit definition to show that
g'(0) exists but gʻ(0) # lim g'(x), where
1
x +0
x² sin –
g(x) =
x = 0
Transcribed Image Text:A Discontinuous Derivative Use the limit definition to show that g'(0) exists but gʻ(0) # lim g'(x), where 1 x +0 x² sin – g(x) = x = 0
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