MATH 142 Midterm: MATH142 South Carolina 91000

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15 Feb 2019
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Ssn: (1) to receive credit, you must work in a logical fashion, show all your work, and when applicable put your answer in the box (or on the line) provided. (2) during this test, do not leave your seat. Raise your hand if you have a question. When you nish, turn your exam over, put your pencil down, and raise your hand. (3) no formula sheets allowed. No calculators allowed. (4) the mark box indicates the problems along with their points. Check that your copy of the exam has all of the problems: for each of the following functions, write a power series expansion (namely the taylor series) about the point a = 0 . Indicate the values of x for which the expansion is valid. a) ex = x n= valid for b) cos x = x n= c) sin x = x n= d) = x n= valid for valid for valid for.