MA 126 Midterm: Cal_II_MA_126_8C_test_3 Fall 2016
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Closed book - calculators and one index card are allowed! Clearly write your answer (only) in the space provided after each question. Very limited partial credit or none at all for this part of the test! Find its (exact) numerical value if it converges! is convergent or. Determine whether the alternating series vergent, or conditionally convergent. (be speci c here!) ( 1)n n2 + 3 n 9n2 + 2 is divergent, absolutely con- Given that the maclaurin series of the function ex = 1 + integral z ex. 1 x dx as an in nite series. xn n! You must show your work on this part of the test to get full credit. Displaying only the nal answer (even if correct) without the relevant steps will not get full credit - no credit for unsubstantiated answers! Find the radius and interval of convergence of the power series. Be sure to check any endpoints that exist!