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Test 2 (PreTest) - Limits

# Test 2 (PreTest) - Limits - AP Calculus AB PreTest#2 Limits...

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AP Calculus AB PreTest #2 - Limits Objectives: You will be able to determine average the rate of change of a function You will be able to determine limits with an algebraic approach and limit laws You will be able to determine a limit with an analytical method You will be able to determine a limit with a graphical method You will be able to recognize when a limit does not exist You will be able to evaluate limits with an algebraic approach by simplifying. You will be able to determine limits using the squeeze theorem You will be able to determine the limits of trigonometric functions You will be able to evaluate one - sided limits You will be able to describe the continuity of a function. You will be able to test for the existence of a limit You will be able to test for continuity at a point You will be able to apply the intermediate value theorem to predict the behavior of a function. You will be able to determine infinite limits of a function. Name___________________________________ Date: _______________________ Evaluate lim h 0 f(x 0 + h) - f(x 0 ) h for the given x 0 and function f. 1) f(x) = x 5 + 10 for x 0 = 7 Determine the limit graphically, if it exists. 2) Find lim x - 1 - f(x) and lim x - 1 + f(x). x -6 -4 -2 2 4 6 y 4 2 -2 -4 -6 -8 -10 3) Find lim x 2 - f(x) and lim x 2 + f(x). x -4 -3 -2 -1 1 2 3 4 y 8 6 4 2 -2 -4 -6 -8 4) lim f(x) x 0 1

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5) lim x 0 x 3 - 6x + 8 x - 2 6) lim x 3 x 2 + 8x + 16 7) lim x 18 10 8) Let lim x - 6 f(x) = 144. Find lim x - 6 f(x) . 9) Let lim x 9 f(x) = - 1 and lim x 9 g(x) = 4. Find lim x 9 [f(x) + g(x)] 2 . 10) Let lim x - 5 f(x) = 8 and lim x - 5 g(x) = - 4. Find lim x - 5 8f(x) - 2g(x) 1 + g(x) . 11) lim x 0 x 3 + 12x 2 - 5x 5x 12) lim x - 6 x 2 + 16x + 60 x + 6 13) lim x 4 x 2 - 16 x 2 - 6x + 8 14) lim h 0 (x + h) 3 - x 3 h Find the limit.
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Test 2 (PreTest) - Limits - AP Calculus AB PreTest#2 Limits...

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