Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
10th Edition
ISBN: 9781305657861
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter B, Problem 5E
To determine
To evaluate: The limit by using l’Hôpital’s Rule.
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6. Determine the value of a such that lim
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x-1
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Use a graphing utility to find the indicated limit graphically. Answer 11-16.
Chapter B Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34E
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- Find the limits in Exercisearrow_forward3. What is the limit x+5 а. lim: х-2 х-4 x-4 b. lim x-4 x3-64arrow_forwardFor the function f graphed as follows, approximate each of the limits and values in Exercises 31–34: 3 1. + + -4 -3 -2/-1 1 2 4 -2- 31. lim f(x), lim f(x), lim_f(x), and f(-2). X-2- X-2+" X-2 32. lim f(x), lim f(x), lim f(x), and f(-1). x-1-* X-1+ X-1 33. lim f(x), lim f(x), lim f(x), and f(2). X2- x+2+ X+2 34. lim f(x), lim f(x), lim f(x), and lim f(x). x-00 3.arrow_forward
- In Exercises 87-89, use GRAPH and TRACE to find each limit. When necessary, state that the limit does not exist. x - 5 x2 - 4x - 5 find lim f(x) and lim f(x). 89. For f(x) X-1 Sx² – 2, for x < 0, 12 - x², for x 2 0, find lim f(x) and lim f(x). 87. For f(x) = Answers to Quick Checks X-2 1. (a) f(3) does not exist; (b) 6 2. (a) 1, 7, does not exist; (b) 3 3. (a) 3; (b) 3; (c) 3 4. (a) Limit does 20x2 88. For g(x) x + 2x2 + 5x find lim g(x) and lim g(x). not exist; (b) 5; (c) 6arrow_forward5. what is the basic concept of a limit? How is a limit calculated? What techniques / rules can be used to evaluate the limit of a function? What does the limit tells about the a function?arrow_forwardsolve the questions that have blue circle on it. solve using limit theorem (not graphically)arrow_forward
- 16. Let f(x) = x +3 if x -1 a) Evaluate the limit. If a limit does not exist, write DNE. lim f(x) i. lim f(x) I--1- b) Sketch the graph of f. ii. +1-+z iii. lim f(x)arrow_forward2. Use analytical techniques to find each limit (SOME justification other than a technology-produced graph must be shown). Vx-2 lim a. X3 x+1 Vx-2 b. lim X3+ 3-x Vx-2-1 c. lim X-3 x-3 x²-4x-5 d. lim x-1 x+1 x'-3x+2 lim е. x-5 3x-5x+2 f. lim 8-4x2 g. lim (33*) = lim (3*) (think about the first)arrow_forwardIn exercises 7 and 8, identify each limit or state that it does not exist. y -2 -2 7. (a) lim f(x)² -2 (b) lim f(x) (c) lim f(x) X→0- (d) lim f(x)z 2 (e) lim f (x) (f) lim f(x) X→-2- X→-2+ x→-2 (g) lim f(x) = DNE (h) lim f (x) x→-1 x→1-arrow_forward
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