a 5 x b x c 1x d 3 x TURN Evaluate Show supporting work for each problem

# A 5 x b x c 1x d 3 x turn evaluate show supporting

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(a) 5 x   (b) 0 x (c) 1 x (d) 3 x TURN->>> Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator. 63. 2 3 6 3 lim x x x x  64. 2 0 5 25 lim x x x 65. 0 1 1 lim x x x 66. 2 6 6 3 18 lim x x x x  67. 3 2 8 2 lim x x x  68. 2 2 3 5 4 1 lim x x x x  __________________________________________________________________________________________ Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator. 69. 3 1 3 lim x x 70. 3 1 3 lim x x 71. 3 1 3 lim x x 72. 2 3 1 3 lim x x 73. 3 1 lim x x (step function) 74. 3 1 lim x x   2 1 , 1 75. , 1 x x f x x x (a)   1 lim x f x (b)   1 lim x f x (c)   1 lim x f x   2 6 if 3 76. 3 4 if 3 x x x f x x x (a)   3 lim x f x (b)   3 f __________________________________________________________________________________________ Use the difference quotient to find the derivative of ( ) f x , as shown below. No calculator.     0 lim h f x h f x f x h Write out f x h , then find   f x h f x . Divide the result by h (or multiply by 1/ h ), simplifying as needed. Finally, take the limit of this result. Your answer should be a function. 77.   2 8 f x x x 78.   9 f x x 79.   3 4 f x x 80.   3 2 2 4 f x x x x # 81-101 are only for students enrolled in BC. Write a formula for the nth term of the sequence in #81-82. 81. -5, -3, - 1, 1, 3, … 82. 0.5, -1, 2, - 4, 8, … Write out the series in #83-86. Then, sum the terms to evaluate the series. 83. 5 2 3 3 n n n 84. 4 0 4 3 k k 85. 11 7 ! n n 86. 5 1 1 ! n n n Evaluate the infinite geometric series, if possible. 87. 0 4 3 k k 88. 1 3 7 5 n n 89. 0 4 3 n n TURN->>> Convert each equation to rectangular form. 90. 4cos r 91. 4sec r 92. 2 sin2 r 93. 2 1 sin r Convert each equation to polar form. 94. 2 2 6 0 x y x 95.  #### You've reached the end of your free preview.

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