MAC 2312 Midterm: MAC2312 C96 Test 4

• School: FAU
• Department: Mathematics - MAC
• Course: MAC 2312
• Professor: All

Document Summary

Indicate what test you are applying in each case. Determine whether the given series converges or diverges. If the series converges, nd the sum. n n + 1 (a) (b) (c) n . Test for absolute convergence, conditional convergence, or diver- gence. n n3. 2n (a) x ( 1)n ln n (b) x (c) x ( 1)n (d) x ( 1)n. N3 + 3n + 5: (20 pts. ) Find the interval of convergence and radius of convergence. (a) x ( 2)n(x 5)n (b) x (x + 1)n n2 + 1 n + 1: (10 pts. ) Xn=0 xn n! for < x < , nd a power series represen-