Pre-Calc Homework Solutions 53

Pre-Calc Homework Solutions 53 - Section 2.2 sin x 2x 2 x...

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Unformatted text preview: Section 2.2 sin x 2x 2 x sin x lim 0 x x 1 lim 0 2x 1 x sin x x 1 2x 1 53 27. Use y 41. (a, b) The function y x is both a right end behavior model and a left end behavior model because lim x x ln x x lim x 1 ln x x 1 0 1. So, lim y x 0 and lim y x 0. 42. (a, b) The function y x 2 is both a right end behavior 28. y 2 x sin x x 1 sin x x x model and a left end behavior model because 0. 2x3 x x5 2x2 2x4 x x x2 4 So, lim y 0 and lim y x lim x x2 sin x x2 lim x 1 sin x x2 1. 43. 2x 2. (a) 0.5x 3. (c) 2x 3. (d) x 2. (b) [ 4, 4] by [ 1, 3] 29. An end behavior model is 30. An end behavior model is 31. An end behavior model is 32. An end behavior model is 33. (a) 3x 34. (a) 2 The graph of y lim f (x) x lim f (x) x (b) None 4x 3 44. (b) None 35. (a) x 2x2 1 2x 1 x 1 lim f x x0 1 lim f x x0 f 1 1/x e is shown. x 0 (b) y 36. (a) 3x2 x2 0 3 3 3 [ 4, 4] by [ 1, 3] (b) y 37. (a) 4x x 4x 2 1 x 1 lim f (x) lim f x x x0 1 lim f (x) lim f x x x0 The graph of y f 1 1/x e is shown. x2 0 (b) None 38. (a) x4 x2 45. x2 (b) None 39. (a) The function y because lim x e x is a right end behavior model 2x e x [ 3, 3] by [ 2, 2] ex lim 1 x 2x ex 1 0 1. (b) The function y because lim x 2x is a left end behavior model 2x 2x 2 ex lim x ex 2x 1 0 1 1. 1 x 1 lim f (x) lim f x x x0 1 lim f (x) lim f x x x0 The graph of y f x ln 0 0 1 is shown. x 46. 40. (a) The function y because lim x x is a right end behavior model e x2 x x2 lim 1 x x x e x x2 1 0 1. [ 5, 5] by [ 1.5, 1.5] (b) The function y because lim lim (x e x x 2 x e 2 is a left end behavior model lim x x e e x x e 2 x 1 1) 0 1 1. 1 x 1 lim f (x) lim f x x x0 1 lim f (x) lim f x x x0 The graph of y f sin x is shown. x 1 1 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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