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2. Discuss the continuity of f(x) by answering the following questions. т - 5, for z< -2, 37-1 I+3 -x2 +2, for r > 3. f(x) = for – 2

2. Discuss the continuity of f(x) by answering the following questions. т - 5, for z< -2, 37-1 I+3 -x2 +2, for r > 3. f(x) = for – 2

Calculus: Early Transcendentals
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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2. Discuss the continuity of f(x) by answering the following questions. I – 5, for r < -2, 37-1 z+3 -x2 + 2, for r > 3. f(x) = for – 2< x < 3, Evaluate (a). lim f(x) (b). lim f(x) (c). lim f(x) (d) f(-2) I-2- I+-2+ I-2 (e). lim f(x) (f). lim f(x) (g). lim f(x) (h) f(3) I+3+ i). At what numbers is f discontinuous? j). At these points, is f continuous from the right, from the left, or neither?
Transcribed Image Text:2. Discuss the continuity of f(x) by answering the following questions. I – 5, for r < -2, 37-1 z+3 -x2 + 2, for r > 3. f(x) = for – 2< x < 3, Evaluate (a). lim f(x) (b). lim f(x) (c). lim f(x) (d) f(-2) I-2- I+-2+ I-2 (e). lim f(x) (f). lim f(x) (g). lim f(x) (h) f(3) I+3+ i). At what numbers is f discontinuous? j). At these points, is f continuous from the right, from the left, or neither?
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