MAC 2312 Final: Final-Exam-Review-MAC-2312-2

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This review, produced by the broward teaching center, contains a collection of questions which are representative of the type you may encounter on the exam. The teaching center is located in the basement of broward hall: You can learn more about the services o ered by the teaching center by visiting https://teachingcenter. ufl. edu: investigate the convergence of the series. Xn=0 cn(x + 1)n converges for x = 1/2 and diverges for x = 4. What can be said about the convergence of series a, b, and c: investigate the convergence of. 4n: use the fact that 4 arctan(1) = , and for the number . Xn=0 ( 1)nx2n to nd a series representation: express z x. 1 t t2 dt as a power series. 3 2x x2 dx: find the sum of the series s = 2 . 6: evaluate the de nite integral z 1. 4 x2 dx: set up the partial fraction decomposition for.

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