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-1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss the existence of the following limits: lim f(x) and lim f(x). x→2 x→3 (c) State with reason whether f(x)is continuous at x = 2 and x = 3.

-1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss the existence of the following limits: lim f(x) and lim f(x). x→2 x→3 (c) State with reason whether f(x)is continuous at x = 2 and x = 3.

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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-1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 1 x2 3 (a) Sketch f(x). (b) Discuss the existence of the following limits: lim f(x) and limf(x). x→2 x-3 (c) State with reason whether f(x)is continuous at x = 2 and x = 3.
Transcribed Image Text:-1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 1 x2 3 (a) Sketch f(x). (b) Discuss the existence of the following limits: lim f(x) and limf(x). x→2 x-3 (c) State with reason whether f(x)is continuous at x = 2 and x = 3.
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