Quiz 4 (Prequiz) - AP Calculus AB Prequiz #4 Objectives:...

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Unformatted text preview: AP Calculus AB Prequiz #4 Objectives: 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 determine limits with an algebraic approach and limit laws Name___________________________________ Date:__________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Complete the table and use the result to find the indicated limit. x3 - 6x + 8 1) If f(x) = , find lim f(x). x - 2 x 0 x f(x) -0.1 -0.01 -0.001 0.001 0.01 0.1 1) 2) If f(x) = x - 4 , find lim f(x). x - 2 x 4 3.9 3.99 3.999 4.001 4.01 4.1 2) x f(x) Use the graph to evaluate the limit. 3) y 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 4 5 x 3) lim f(x) x0 1 4) lim f(x) x0 y 4 3 2 1 -3 -2 -1 -1 -2 -3 -4 1 2 3 4 x 4) -4 Find the limit, if it exists. 2x - 7 5) lim 4x + 5 x1 x2 - 2x - 15 x + 3 5) 6) lim x5 6) Give an appropriate answer. 7) Let lim f(x) = -7 and lim g(x) = -5. Find lim [f(x) - g(x)]. x -10 x -10 x -10 7) 8) Let lim f(x) = -4 and lim g(x) = 2. Find lim [f(x) g(x)]. x 8 x 8 x 8 f(x) 9) Let lim f(x) = 5 and lim g(x) = 2. Find lim . g(x) x 1 x 1 x 1 8) 9) 10) Let lim f(x) = 169. Find lim x 5 x 5 f(x). 10) 11) Let lim f(x) = -4 and lim g(x) = -1. Find lim [f(x) + g(x)]2 . x -5 x -5 x -5 11) 2 Answer Key Testname: QUIZ 4 (PREQUIZ) 1) x -0.1 -0.01 -0.001 0.001 0.01 0.1 ; limit = -4.0 f(x) -4.09476 -4.00995 -4.00100 -3.99900 -3.98995 -3.89526 2) x 3.9 3.99 3.999 4.001 4.01 4.1 ; limit = 4.0 f(x) 3.97484 3.99750 3.99975 4.00025 4.00250 4.02485 3) 0 4) Does not exist 5 5) - 9 6) 0 7) -2 8) -8 5 9) 2 10) 13 11) 25 3 ...
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