MATH 1502 Study Guide - Midterm Guide: Improper Integral, Absolute Convergence
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Practice test 2: find the interval of convergence of the following series (show work). (a) x xk (b) x k2k . k + 1 k (x + 3)k (c) find the power series for. 0 arctan(u)du: evaluate the improper integral that converge. 0 (a) (b) (c) dx x2 x2e x dx dx x ln2 x e work). (a) x (k! X (b) (2k)! ( 1)k ln(k + 1: show whether the following series converge absolutely, conditionally, or diverge (show. X: x k2 k + 1 k=0 k3 + k3/2 1.