x- 3 44. ITTTT 43. lim x-5x2- 25 X-+ 3 (x2 - 2) (x - 3) 3 46. lim (3e -2x + 1) X-+00 45. lim 1+24- 2x 1 + 2x 3x + 1 48. lim 47. lim x-+00 x- 1 14-01-x x+1 50. lim 1+ 1 49. lim X-+00 x:2 - 1 X -+ 00 2x +1 51. lim sinx 52. lim sin x-+ 00 Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53-66. If a two-sided limi does not exist, describe the one-sided limits. 53. lim x-0 X 54. lim (x3 - 2) x->-1 55. lim - x 2 - 1 x2 + x - 2 x-1 x- 1 56. lim x - - 2 x +2 57. lim x - 1 X-+1 x2- 1 x- 4 58. lim x-+ 00 x2 - 4 59. lim (1- e-") X-00 60. lim (3e #x + 1) X- -00 61. lim tanx x -1 /2 62. lim cscx X - It