Consider the function given below. f(x) = sin 0, 1 X+1 1 x < -1 x≥-1 Complete parts (a) through (c). (a) Does lim f(x) exist? If so, what is it? If not, why not? X→-1 -2 -1√ X ON

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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.
f(x) =
sin
0,
(a) Does lim
1
X + 1
X→-1
"
Complete parts (a) through (c).
x < -1
O A. Yes, lim
x² - 1
f(x) exist? If so, what is it? If not, why not?
f(x) =
(Simplify your answer.)
-_-2
X→-1-
B. No, because there is no real number to which the function's values stay increasingly close as x approaches - 1 from the left side.
Transcribed Image Text:Consider the function given below. f(x) = sin 0, (a) Does lim 1 X + 1 X→-1 " Complete parts (a) through (c). x < -1 O A. Yes, lim x² - 1 f(x) exist? If so, what is it? If not, why not? f(x) = (Simplify your answer.) -_-2 X→-1- B. No, because there is no real number to which the function's values stay increasingly close as x approaches - 1 from the left side.
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