Pre-Calc Homework Solutions 355

Pre-Calc Homework Solutions 355 - Chapter 8 Review 2 dz 1...

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Unformatted text preview: Chapter 8 Review 2 dz 1 z2 355 s Chapter 8 Review Exercises (pp. 454455) z2 50. dx 1 sin x 1 2z 1 z2 2 dz 2z 2 dz 1)2 2 1. lim 1 2 z 1 t0 t ln (1 t2 2t) 1 2 1 2t lim t0 2t for t0 and for t0 C The limit does not exist. 2. lim tan 3t (z tan 51. dx 1 cos x x 1 2 2 dz 1 z2 1 z2 1 1 z2 C t0 tan 5t lim 3 sec2 3t 2 t0 5 sec 5t 3 5 3. lim x0 1 x sin x cos x x cos x sin x sin x x sin x cos x lim cos x x0 lim x0 cos x 2 dz z2 1 z 4. The limit leads to the indeterminate form 1 . f (x) C 1 x tan 2 x1/(1 x) C ln f (x) x x1 1 1/(1 x) lim ln x 52. d 1 sin 2 dz 1 z2 2z 1 1 z2 ln x 1 x 1/x lim x1 1 1 e 1 lim x x1 lim e x1 ln f (x) 1 e 0 5. The limit leads to the indeterminate form f (x) ln f (x) lim x . z2 2 dz 2z 1 x1/x ln x x 2 dz (z 1)2 2 z 1 2 tan 2 1 tan 2 1 2 dz z2 z 2 ln x x 1/x lim x x 1/x 1 ln f (x) 0 e0 1 C lim x x lim e C 1 2 6. The limit leads to the indeterminate form 1 . C f (x) 1 1 z2 z2 1 3 x x ln 1 1 x 1 3/x 2 3/x 1 x2 3 x 53. 1 dt sin t cos t 1 dz z 2z 1 ln f (x) ln 1 x ln 1 3 x 3 x 1 lim ln z 1 C x 1 x lim x lim x 3x x 3 3 t ln tan 2 1 C lim 1 x 3 x x lim eln f (x) x e3 1 and ln r as r . 2 7. lim r cos r ln r 0 since cos r sec lim 8. lim /2 2 /2 cos /2 lim 1 sin 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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