MATH 1220 Final: CalcII_FinalExam_Spring2013
Document Summary
Show all work and include appropriate explanations when necessary. Answers unaccompa- nied by work may not receive credit. Please try to do all work in the space provided and circle your nal answers. Note: answers may be . (a) (5pts) lim x 0. 5x2 sin x x (b) (5pts) lim x 0+ x2 sin x x. 1: (10pts) find the antiderivative z sin3 x cos4 x dx, (10pts) find the antiderivative z. 2: (14pts) determine, by whatever method you wish, whether the following series are convergent or divergent. Circle c" if the series is convergent or d" if the series is divergent. 3 n: (12pts) use the integral test or the comparison test to determine whether the series. Xn=1 n2 (2n3 + 5)2 converges or diverges. Note: you can assume that this series satis es the hypotheses of both tests. 3: (10pts) find the radius of convergence of the power series.
