27. lim =00 x- -2+ x+2 1 1 =-00 30. lim 29. lim = 0 1- ex x-+ 2+ 2x - 4 1 = -.5 32. lim 0 31. lim x-+00 1- 2x *- -00 x2 + 1 33. lim (x3 + x + 1) = 00 34. lim (1 - 3x) = 00 X- 00 X - - 00 (2 + h)2-4 2th INI- 35. lim =4 36. lim h-0 h h-0 h 37. lim f(x) = -00 38. lim f(x) = 00 x -+ ct X -> C 39. lim f(x) = L 40. lim f(x) =-0 X - -00 x - - 00 41. lim f(x) = 00 X - -00 42. lim f(x) = -co x -+ 00 For each limit lim f(x) = L in Exercises 43-54, use graphs X - C and algebra to approximate the largest value of & such that if x E (c - 8, c) U ( c, c + 8), then f(x) E ( L - E, L + E). 43. lim x3 = 8, E = 0.5 x- 2 44. lim x3 = 8, E = 0.25 x- 2 45. lim Vx - 1 = 2, 6 = 1 x - 5 46. lim Vx - 1 = 2, E = 0.2 x- 5 47. lim sin x = 0, 6 = X - IT Applications 65. Every month, Jack hides $50 under a broken floorboard to save up for a new boat. After t months of saving, he will