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 2E
To determine
To evaluate: The limit by using l’Hôpital’s Rule.
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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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- 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_forwardEvaluate the limit 5 + 2x lim x → 0 8 – 8x -arrow_forwardIn Exercises 1-6, complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. x – 4 1. lim →4 x2 3x - 4 3.9 3.99 3.999 4.001 4.01 4.1 fAx)arrow_forward
- Evaluate the limit 1 1 15 lim x → 15 15 -arrow_forwardCalculate each limit in Exercises 35. lim -4x-3 36. lim 2x-3/4 37. lim 2r-4/3 38. lim -5x3/5 x00 x-00 39. lim (V – x) 40. lim (r – x³) x00 41. lim (-3x5 + 4x + 11) 42. lim (5 – 2x + 3x³) x00 X-00 x² + 8x + 16 x+1 43. lim x-4 (x+ 4)2(x+ 1) x² +1 44. lim x-+2 (x – 2)2 x+4 45. lim x-0 x(x – 1) 46. lim x-4 x2 + 8x + 16 x - 1 47. lim X0 x - X 48. lim X1 x2 - 2x +1 (3x + 1)²(x – 1) 1- 2r2 49. lim 50. lim x-00 (3 – x) (3 + 4x) X00 1-x3arrow_forwardEvaluate 1. limit = 2. limit -3 3. limit does not exist 4. limit x + 1 lim x-1 x² – 3x − 4 - 5. limit 6. limit 2|5 1 5 20 5arrow_forward
- 2. Determine whether the limit lim Vx² +1– Vx+1 exists. Please explain your X00 answer.arrow_forward2. Give the indicated limit. If the limit does not exist because the function approaches infinity, specify positive or negative infinity. a) lim 2-1-arrow_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
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