Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
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 25E
To determine

To evaluate: The value of limx0sinxxexex2x using L’Hôpital’s Rule if appropriate.

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52. 39. lim (x2 + x+ 1) 40. lim (1 – 3x +x²) x+2- X3+ 1 41. lim 1+2 x2 – 4 1 42. lim x1 1- x х — 3 х — 5 43. lim x-3 (x2 – 2)(x – 3) 44. lim x+5 x2 – 25 3 45. lim X+2 4 - 2* 2x 46. lim (Зe + 1) X00 Зх + 1 1+ 2x 47. lim X-00 1- r 48. lim X00 Y -1 x+1 1 + 2x +1 1 49. lim x-0 x2 - 1 50. lim (1+ X00 51. lim sinx 52. lim sin x00
In Exercises 4–18,(evaluate the limit)or explain why it does not exist. 4. lim (x² – 4x + 1) 5. lim x 3 x + 6 x + 3 X4
For 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.
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Limits and Continuity; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9brk313DjV8;License: Standard YouTube License, CC-BY