Pre-Calc Homework Solutions 357

Pre-Calc Homework Solutions 357 - Chapter 8 Review f (x) x...

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Unformatted text preview: Chapter 8 Review f (x) x g(x) tan 1 (1/x) 1/x 357 25. lim lim x 1 34. lim x 2 1 x4 1 x2 1 x4 1 x2 1 x4 1 x4 lim x 1 x2 1 0 1 lim x 1 (1/x) 2( ) x x 1 1 (1/x) 2 2 True 35. lim x lim x 1 lim x 1 x2 1 0 f grows at the same rate as g. True ln x 36. lim 1 x x lim x 1 x 26. lim f (x) x g(x) sin 1 (1/x) (1/x 2) x 1 0 lim 1 True ( x 3 2 lim x 1 (1/x ) 2 ) ln 2x 37. lim x ln x 2x x 2 1 lim x 1 x 1 x 1 1 lim x True (1/x)2 f grows faster than g. 2 sin x 38. lim 1 1 sec 1 x 1 x 2 2 27. (a) lim f (x) x0 lim x0 ex lim x0 (ln 2)(cos x)2 ex sin x ln 2 True (b) Define f (0) ln 2. 39. x 3 sin , dx dx 9 x 2 3 cos 3 cos 3 cos d d , d 2 2 28. (a) lim f (x) x0 lim x ln x x0 ln x x0 1/x 1/x lim 1/x 2 x0 lim lim ( x) x0 0 C x 3 b (b) Define f (0) 1 1 2 4 29. lim x 1 x x 0. 1 x2 sin 1 1 3 0 1 C dx 9 1 x lim 1 x dx 9 x 2 x2 lim b3 0 x2 b 0 True 30. lim x 1 x2 1 x4 1 x4 lim lim (x 2 x sin 1) b3 3 1 b False 31. lim x lim b3 sin 3 2 x x ln x lim x 1 1 1 x 1 0 False 32. lim x ln (ln x) ln x lim x 1 x ln x 1 x lim x 1 ln x 0 True 33. lim tan 1 x 1 x 2 2 True ...
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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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