-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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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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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