MATH 250 Final: MATH 250 Amherst S16M250Final

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 250
• Professor: All

Document Summary

Explain how you obtained your answer. (c) (2 points) find a formula for the inverse function f 1. Explain how you got your answer. (d) (2 points) state the domain and range of f 1. (e) (2 points) the function g satis es g(1) = 2, g(2) = 5, g (1) = 7 and g (2) = 3. Calculate (g 1) (2): (6 points each) evaluate each of the following integrals (or show that it diverges): Ex 1 x2 + x 2. 3x dx: (3 points each) evaluate each of the following limits: (a) lim x 0 (b) lim n sin 1(x) sinh 1(x) en+1 n! (c) lim x (cid:18)1 + X: (4 points each) decide if each of the following series converges absolutely, converges conditionally, or diverges. Xn=3 ( 1)n sin(n + 1) n3/2 + 1 (2n)! n!n! ( 1)n ln n n: (9 points) find the interval and radius of convergence of the power series.