MATH 141 Midterm: MATH141 BOYLE-M FALL2002 0311 MID EXAM 2

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: All

Document Summary

1. (25 points) (a) (10 points) compute the sum of the following series. Determine whether the following series converge or diverge. X n=1 n (n3 + 1)3/7: (25 points) (a) (10 points) find the fourth taylor polynomial p4(x) for the function f (x) = 1 (5 + x2) (b) for each of the following power series, compute the radius of convergence. ***there are more problems on the back side of this page**: (35 points) (a) (10 points) determine whether the following series converges, and whether it converges absolutely. X n=2 ( 1)n (ln(n))2 (b) (10) give an appropriate upper bound for the following truncation error: 1 n2 (c) (8) let f (x) = 1 + 2x + 3x2 + 4x3 + 5x4 + . What is f (1/3)? n=1 anxn converges at x = 3. (d) (7) suppose you know that the power series p .