MAT 21C Study Guide - Final Guide: Limit Comparison Test, Alternating Series Test, Parametric Equation

• School: UC-Davis
• Department: Mathematics
• Course: MAT 21C
• Professor: All

Document Summary

Be a divergent series, and bn n=1 n=1. Be a series whose convergence or divergence cn is to be determined. For each of the following conditions, determine the convergence or divergence of: lim n cn = 1. 2: lim n cn +1 cn. = 4: 0 < cn < an for n 1, lim n n n=1 cn cn. = 2: determine if the following series converge or diverge and show why. a) n= 2 n (lnn)2 b) n= 2. 1 n(lnn)2 ( 1)n +1(x 2)n c) n= 3 ( 1)n lnn n: find the interval of convergence for. Be sure to check the endpoints! n=1 of the previous bounce. Find the total distance traveled by the ball: use the first 3 terms of a power series to estimate the following. Then put an upper bound on the error: e 1/ 2, e *note: e < 2.