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Find the limit. lim ---X +4 Step 1 1 x+ 4 as x approaches -4 from the left. Note that we cannot simply substitute -4 into the given expression because it causes the denominator to be zero, and thus, the function is not defined at this value of x. We are asked to evaluate the limit of We can consider the graph of y = ズ+4 to help us evaluate the limit lim 1 --4X + 4 As we have stated, the value -4 causes the denominator of y = to be zero. Notice there are no values which make the numerator zero, and thus, the function has a vertical asymptote at x- x + 4

Find the limit. lim ---X +4 Step 1 1 x+ 4 as x approaches -4 from the left. Note that we cannot simply substitute -4 into the given expression because it causes the denominator to be zero, and thus, the function is not defined at this value of x. We are asked to evaluate the limit of We can consider the graph of y = ズ+4 to help us evaluate the limit lim 1 --4X + 4 As we have stated, the value -4 causes the denominator of y = to be zero. Notice there are no values which make the numerator zero, and thus, the function has a vertical asymptote at x- x + 4

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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x + 4 Find the limit. lim x--4- X + 4 Step 1 We are asked to evaluate the limit of . as x approaches -4 from the left. Note that we cannot simply substitute -4 into the given expression because it causes the denominator to be zero, and thus, the function is not defined at this value of x. X + 4 We can consider the graph of y = - to help us evaluate the limit lim 1 x + 4 x--4 X + 4 As we have stated, the value -4 causes the denominator of y = to be zero. Notice there are no values which make the numerator zero, and thus, the function has a vertical asymptote at x =
Transcribed Image Text:x + 4 Find the limit. lim x--4- X + 4 Step 1 We are asked to evaluate the limit of . as x approaches -4 from the left. Note that we cannot simply substitute -4 into the given expression because it causes the denominator to be zero, and thus, the function is not defined at this value of x. X + 4 We can consider the graph of y = - to help us evaluate the limit lim 1 x + 4 x--4 X + 4 As we have stated, the value -4 causes the denominator of y = to be zero. Notice there are no values which make the numerator zero, and thus, the function has a vertical asymptote at x =
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