MATH-0034 Midterm: MATH34 exams Exam2-S14

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31 Jan 2019
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Their cell phone on will be given a 10 point deduction. Cross out what you do not want us to grade. You must show work to receive full credit. You need not simplify your answers unless asked to do so. You should evaluate standard trigonometric functions like tan( /3). You are not allowed to quote results about growth rates. You are required to sign your exam book. With your signature, you pledge that you have neither given nor received assistance on this exam. 100: determine the convergence or divergence of the following series. State and check hypotheses of any test, rules or theorems you use. (10 points each) 3: (10 points) determine the convergence or divergence of the following series. 5k+1: (10 points) quadratic approximation (a) find the 2nd-order taylor polynomial p2(x) for f (x) = 2x + cos x centered at 0. (b) use the polynomial you found in part (a) to approximate f (1/2).