MAC 2312 Midterm: MAC2312 C05 Test 4
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Instructions: write your complete solutions on your answer paper. You are not required to simplify your answers. (1) (30 pts. ) For the following, determine whether the series converges or di- verges. For each convergent series, nd the sum. (a) (b) (c) n=0 n=2. 1 n2 n n (cid:19)n n=2(cid:18) n 1 (2) (10 pts. ) Use the integral test to decide whether the series converges or diverges. ne n n=1 (3) (20 pts. ) For the following, determine whether the series converges abso- lutely, converges conditionally, or diverges. (a) (b) n=0 n=1 ( 2)n n! ( 1)n(n + 1) n2 (4) (20 pts. ) For each power series, nd the interval of convergence. (a) (b) n=1 xn.
