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Ptest2 Note for MATH 126 with Professor Hadji at UA

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This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Alabama - Tuscaloosa taught by a professor in Fall. Since its upload, it has received 59 views.

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Date Created: 02/06/15
MATH 126001 PRACTICE EXAM 2 NAME 7777 Fall 2012 0 Cell Phones are prohibited 0 Caps may not be worn during the test 0 Programmable or graphing calculators are not allowed Instructions Give reasons for each step in each problem Correct numerical answers or final formulas alone will not always suffice for full credit Partial credit is given only in cases when the problem is solved correctly but the solution contains only minor algebra mistakes PART I LiHospitalis Theorem x points Use L39Hospital39s Theorem to evaluate the following limits If the Theorem is NOT applicable then state so by writing NA beside the expression A hm cw7sinx7cosz 170 2 B hm z clE 704r C lim 17 7V 704r i PART II Trigonometric substitutions x points Evaluate the integral J 16 7 2 dx dx Evaluate the inte ral K g v 16 2 PART III Partial Fractions Decomposition x points A Determine the partial fraction decomposition but do not solve for the constants for the rational function 3x3 9x2 1 M x2x9z73x3 Evaluate the following integrals 28 C z2971 9 PART III Improper Integrals x points State if the integral is improper or not If the integral is improper then either find its value or else show that it diverges A AGO 74 dx 4 2m B 374x72d Hint You may use answers obtained in PART IV Make use of the Comparison Test to determine the convergence or divergence of the following improper integral C A 1 dab erc m PART V Sequences x points A A sequence is defined recursively by 11 27 a2 74 an 3anL 711a 7 for n 21 What is 14 B Show how you would use the Squeeze theorem find the limit of the following sequence 7 nsinn 3n22 n C Determine if the following sequence converges or diverges Find the limit in case it converges an cos n3 6

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