Consider the function given below. 1 x2 COs f(x) x-2 = 0. x22 Complete parts (a) through (c) -1- (a) Does lim f(x) exist? If so, what is it? If not, why not? J. x 2 O A. Yes, lim f(x) (Simplify your answer.) x+2 O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the left side. (b) Does lim x 2+ f(x) exist? If so, what is it? If not, why not? O A. Yes, lim f(x) . (Simplify your answer.) - x 2 O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the right side. (c) Does lim f(x) exist? If so., what is it? If not, why not?

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 given below.
1
x2
COs
f(x)
x-2
=
0.
x22
Complete parts (a) through (c)
-1-
(a) Does lim
f(x) exist? If so, what is it? If not, why not?
J.
x 2
O A. Yes, lim f(x)
(Simplify your answer.)
x+2
O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the left side.
(b) Does lim
x 2+
f(x) exist? If so, what is it? If not, why not?
O A. Yes, lim f(x)
. (Simplify your answer.)
-
x 2
O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the right side.
(c) Does lim f(x) exist? If so., what is it? If not, why not?
Transcribed Image Text:Consider the function given below. 1 x2 COs f(x) x-2 = 0. x22 Complete parts (a) through (c) -1- (a) Does lim f(x) exist? If so, what is it? If not, why not? J. x 2 O A. Yes, lim f(x) (Simplify your answer.) x+2 O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the left side. (b) Does lim x 2+ f(x) exist? If so, what is it? If not, why not? O A. Yes, lim f(x) . (Simplify your answer.) - x 2 O B. No, because there is no real number to which the function's values stay increasingly close as x approaches 2 from the right side. (c) Does lim f(x) exist? If so., what is it? If not, why not?
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