x < 0 x=0 x-1, f(x) = 1, (x²-1, x>0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this function, show that f(0) # lim f(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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x-1,
x < 0
f(x) = 1,
x=0
(x²-1,
x>0
Can also be displayed as:
f(x) [x 1 when x < 0, 1 when x = 0, x² 1 when x ≥ 0]
For this function, show that f(0) # lim f(x)
x →0
Transcribed Image Text:x-1, x < 0 f(x) = 1, x=0 (x²-1, x>0 Can also be displayed as: f(x) [x 1 when x < 0, 1 when x = 0, x² 1 when x ≥ 0] For this function, show that f(0) # lim f(x) x →0
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