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Tutorial Exercise Find the limit, if it exists. 9x + 36 lim x--4 |x + 4|| Step 1 Recall that x 2 -4 x < -4. |x + 4| = -(x + 4) Therefore, we will need to check the limits when approaching from the left and from the right. We will start by checking the limit when approaching from the left. As x approaches -4 from the left, we have 9x + 36 9x + 36 lim X--4- |X + 4| lim x--4-

Tutorial Exercise Find the limit, if it exists. 9x + 36 lim x--4 |x + 4|| Step 1 Recall that x 2 -4 x < -4. |x + 4| = -(x + 4) Therefore, we will need to check the limits when approaching from the left and from the right. We will start by checking the limit when approaching from the left. As x approaches -4 from the left, we have 9x + 36 9x + 36 lim X--4- |X + 4| lim 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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Tutorial Exercise Find the limit, if it exists. 9x + 36 lim x--4 |x + 4|| Step 1 Recall that x 2 -4 X < -4. |x + 4| = l-(x + 4) Therefore, we will need to check the limits when approaching from the left and from the right. We will start by checking the limit when approaching from the left. As x approaches -4 from the left, we have 9x + 36 9x + 36 lim lim x--4- |X + 4|| x--4-
Transcribed Image Text:Tutorial Exercise Find the limit, if it exists. 9x + 36 lim x--4 |x + 4|| Step 1 Recall that x 2 -4 X < -4. |x + 4| = l-(x + 4) Therefore, we will need to check the limits when approaching from the left and from the right. We will start by checking the limit when approaching from the left. As x approaches -4 from the left, we have 9x + 36 9x + 36 lim lim x--4- |X + 4|| x--4-
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