MATH 141 Study Guide - Midterm Guide: Bounded Function

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

Document Summary

Practice exam 4 (b: using tests from class, determine which of the following series converge and which diverge. If a series is convergent, justify whether the convergence is conditional or absolute. (cid:88) n=2 (a) ( 1)n ln n n4 + 1 (b) ( 1)nn1/n (c) n=1 n=3 ( 1)n 1 ln n: use a geometric series to nd a fractional representation of 1. 212121 . 3. (a) determine the radius of convergence r of (b) find the sum of the series in (a) (in terms of x) for all |x| < r. n=0. 4. (a) find a series representation for i = (b) find an approximation for i accurate to within 0. 01. Justify how you know your ap- proximation is su ciently accurate. 5. (a) compute ( (b) find all solutions to z3 + 4z2 + 6z = 0 in the form a + bi.