Consider the function f with domain (-2, : 3|22 – 1| if – 2 < x < 1 2x2 + 2x – 4 f(x) = 3 if x = 1 x!/(1-æ) if 1< x Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?

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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Consider the function f with domain (-2, :
3|22 – 1|
if – 2 < x < 1
2x2 + 2x – 4
f(x) =
3
if x = 1
x!/(1-æ)
if 1< x
Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?
Transcribed Image Text:Consider the function f with domain (-2, : 3|22 – 1| if – 2 < x < 1 2x2 + 2x – 4 f(x) = 3 if x = 1 x!/(1-æ) if 1< x Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?
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