MATH 2300 Midterm: 2300F11R3
Document Summary
Math 2300 review problems for exam 3: check whether the following series converge or diverge. Xn=1 n (n2 + 1) ( 1)n n (n2 + 1) n (n2 + 1)2. 2n n! (2n)! (n + 3)! n! (n + 2)! n! nn: find the values of a for which the series converges/diverges: (a) (b) Fully justify your answer. (a) the series converges by limit comparison with the series (b) the series converges by the ratio test. 1 n (c) the series converges by the integral test: consider the series answer. Fully justify your (a) the series converges by limit comparison with the series (b) the series converges by the ratio test. (c) the series converges by the integral test. (d) the series converges by the alternating series test. 1 n: the series p an is absolutely convergent. You must justify your answer to receive credit: let f (x) =
