EXPONENTIAL AND LOGARITHMIC SERIES -02-Assignment

1. (a) (b) (c) (d) 2. (a) e (b) 2e (c) (d) None of these 3. (a) x (b) (c) (d) 4. (a) e (b) 2 e (c) 3 e (d) None of these 5. (a) (b) (c) (d) e 6. (a) e (b) 2 e (c) 3 e (d) None of these 7. (a) 0 (b) 1 (c) –1 (d) 2 8. (a) (b) e (c) (d) 9. (a) (b) x (c) (d) 10. (a) (b) (c) (d) 11. (a) (b) x (c) (d) a 12. (a) 3e (b) 5 e (c) (d) None of these 13. (a) (b) (c) e (d) 14. (a) 2 (b) 3 (c) 4 (d) None of these 15. (a) e (b) (c) (d) None of these 16. Sum to infinity of the series is (a) (b) (c) (d) 17. Sum of the infinite series is (a) (b) (c) (d) 18. The value of is (a) 2 (b) (c) log 3 (d) None of these 19. The sum of the series is (a) e (b) (c) (d) None of these 20. If , then 2S equals (a) (b) (c) (d) 21. The coefficient of in the expansion of is (a) (b) (c) (d) 22. In the expansion of , the coefficient of is (a) (b) (c) (d) None of these 23. In the expansion of the coefficient of is (a) 0 (b) 1/3 (c) 2/3 (d) 1/6 24. In the expansion of the coefficient of will be (a) (b) (c) (d) None of these 25. If n is even, then in the expansion of the coefficient of is (a) (b) (c) (d) 26. If (a) (b) (c) (d) 27. (a) e (b) (c) (d) 28. (a) e (b) (c) (d) 29. The sum of the series is (a) (b) (c) (d) 30. (a) (b) (c) (d) 31. (a) (b) (c) (d) 32. (a) (b) (c) (d) None of these 33. (a) (b) (c) (d) 34. (a) 28 (b) 30 (c) 25 (d) 0 35. (a) (b) (c) (d) 36. The sum of the series is (a) e (b) (c) (d) 37. (a) (b) (c) (d) 38. The value of will be (a) 1.648 (b) 1.547 (c) 1.447 (d) 1.348 39. The sum of the infinite series is (a) (b) (c) 1 (d) 3/2 40. The sum of is (a) (b) e (c) 2e (d) 3e 41. (a) (b) (c) (d) 42. The sum of the series equals (a) (b) (c) (d) 43. The value of is (a) (b) (c) (d) None of these 44. Sum of the series and is equal to (a) exp (ix) (b) exp [cos (sin x)+i sin(sin x)] (c) exp [exp(ix)] (d) exp (cos x)[exp (ix)] 45. The sum of the series is (a) (b) (c) (d) 46. The sum of the series is (a) (b) (c) (d) 47. (a) (b) (c) (d) 48. If denotes the sum of the products of the first n natural numbers taken two at a time, then (a) (b) (c) (d) None of these 49. The sum of the series is (a) (b) (c) (d) 50. The sum of the series is (a) (b) (c) (d) None of these 51. The sum of the series is (a) (b) (c) (d) None of these 52. If and , then the value of is (a) 1 (b) 0 (c) – 1 (d) – 2 53. (a) (b) (c) (d) 54. (a) (b) (c) (d) None of these 55. (a) (b) (c) (d) None of these 56. (a) (b) (c) (d) None of these 57. (a) (b) (c) (d) 58. (a) (b) (c) (d) None of these 59. The sum of the series (a) (b) (c) (d) 60. (a) (b) (c) (d) None of these 61. (a) (b) (c) (d) 62. (a) (b) (c) 1 (d) 0 63. (a) (b) (c) (d) None of these 64. The sum of is (a) (b) (c) (d) 65. If and then (a) (b) (c) (d) 66. The sum to infinity of the given series is (a) (b) (c) (d) 67. is equal to (a) (b) (c) (d) None of these 68. If the sum of to n terms is S, then S is equal to (a) (b) (c) (d) 69. Th sum of the series is (a) (b) (c) (d) 70. (a) (b) (c) (d) None of these 71. If are the roots of the equation , then = (a) (b) (c) (d) None of these 72. (a) (b) (c) (d) 73. (a) (b) (c) (d) None of these 74. If m, n are the roots of the equation then the value of is (a) 9 (b) 3 (c) 0 (d) 1 75. The value of is (a) (b) (c) (d) 76. If , then relation between a and b will be (a) (b) (c) (d) 77. The solutions of the equation are (a) (b) (c) (d) 78. The solution of is (a) (b) (c) (d) None of these 79. If then xyz is (a) 1 (b) 0 (c) 3 (d) None of these 80. (a) (b) (c) (d) 81. is equal to (a) (b) (c) (d) None of these 82. (a) (b) (c) (d) None of these 83. (a) (b) (c) (d) 84. (a) (b) (c) (d) 85. (a) (b) (c) (d) None of these 86. (a) (b) (c) (d) None of these 87. (a) (b) (c) (d) 88. If , then is equal to (a) 1 (b) 0 (c) (d) –1 89. If then ..... is equal to (a) (b) (c) (d) 90. The sum of is (a) (b) (c) (d) 91. The sum of the series is (a) (b) (c) (d) None of these 92. The sum of the series is (a) (b) (c) (d) None of these 93. is defined for (a > 0) (a) All real x (b) All negative (-) real (c) All positive (+) real (d) 94. If then x can have the values (a) (b) 7 (c) (d) (2,-3) 95. is defined for (a) (b) Any positive (+) real x (c) (d) Any positive (+) real 96. If then x= (a) (b) (c) (d) 97. If and then (a) 0 (b) 1 (c) 3 (d) 98. The value of x obtained from equation will be (a) 10 (b) 100 (c) 5 (d) 2 99. In the expansion of 2 the coefficient of is (a) (b) (c) 1 (d) None of these 100. If then the coefficient of in the expansion of is (a) (b) (c) (d) 101. In the expansion of the coefficient of x is (a) 0 (b) 1 (c) –1 (d) 1/2 102. If is not a multiple of 3, then the coefficient of in the expansion of is (a) (b) (c) (d) 103. If n is a multiple of 3, then the coefficient of in the expansion of is (a) (b) (c) (d) 104. If is equal to (a) (b) (c) (d) 105. If (a) (b) (c) (d) None of these 106. If then x = (a) (b) (c) (d) 107. If , then (a) (b) (c) (d) 108. If then (a) (b) (c) (d) 109. If for , then (a) (b) (c) (d)

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