Pre-Calc Homework Solutions 44

# Pre-Calc Homework Solutions 44 - 44 23. Section 2.1 27. [...

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Unformatted text preview: 44 23. Section 2.1 27. [ 4.7, 4.7] by [ 3.1, 3.1] 5x3 lim 4 x0 3x 5x3 3x4 x0 8x2 16x2 1 2 [ 4.7, 4.7] by [ 3.1, 3.1] 2 x0 2x lim sin x x 1 Algebraic confirmation: lim 8x2 16x2 x2(5x 8) x2(3x2 16) x0 5x 8 lim 2 16 x0 3x 5(0) 8 3(0)2 16 8 1 16 2 Algebraic confirmation: 2 x0 2x lim lim sin x x lim x0 sin x x 1 1 1 2x 1 1 2(0) 1 sin x lim x0 x x0 2x lim (1) 1 28. 24. [ 4.7, 4.7] by [ 3.1, 3.1] [ 4.7, 4.7] by [ 3.1, 3.1] 1 lim x0 x lim x0 2 x 1 2 sin x x 2 x 1 1 2 1 4 Algebraic confirmation: lim x0 x Algebraic confirmation: lim x0 2 x sin x x lim 1 x0 sin x x x 2 (2 x) x0 x(2 x)(2) x lim x0 x(2 x)(2) 1 lim x0 2(2 x) 1 1 2(2 0) 4 lim lim 1 x0 lim x0 sin x x 1 29. 1 2 25. [ 4.7, 4.7] by [ 3.1, 3.1] sin2 x x0 x lim 0 [ 4.7, 4.7] by [ 5, 20] Algebraic confirmation: sin2 x x0 x lim x0 (2 x)3 x 8 12 lim lim sin x x0 sin x x Algebraic confirmation: lim x0 lim sin x 12x 6x x 2 lim x0 (2 x) x 3 8 lim x0 x0 x 3 x0 sin x x (sin 0)(1) x) 2 0 lim (12 12 26. 6(0) 6x (0) 30. 12 2 [ 2, 2] by [ 10, 10] x0 sin 3x lim 3 sin 4x 4 [ 4.7, 4.7] by [ 3.1, 3.1] sin 2x lim x x0 Algebraic confirmation: x0 sin 3x 2 lim 3 sin 4x sin 4x 4x 4 lim x0 Algebraic confirmation: lim x0 4 lim x0 sin 2x x 2 lim x0 sin 2x 2x 3x sin 4x sin 3x 4x sin 3x lim x0 3x 2(1) 2 4(1) (1) 4 ...
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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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