MATH 123 Midterm: MATH 123 Drexel ExamIIReview
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Determine whether the following series converge or diverge. Determine whether the following series converge or diverge, using any ap- propriate test. Even if the series is convergent, do not sum. Indeterminate with this test is not a complete answer. k=1 a. ) Determine whether the following alternating series converge or diverge. If the series converges, determine whether it converges absolutely or conditionally. a. ) Construct the series expansions requested for the following functions and describe the interval and radius of convergence of the resulting series. If the interval is nite, make sure to check the endpoints for conditional convergence. a. ) f (x) = 1 b. ) f (x) = e c. ) f (x) = x. 4 ; expand around x = 16. x. Approximate 5 by constructing a taylor series for f (x) = x about a convenient point. Truncate to a taylor polynomial with enough terms to achieve 3-place accuracy, and justify your choice. x really does converge to.
