MATH 1360 Midterm: Exam 3 Math 136 Spring 2008
Document Summary
Practical methods for nding limits of sequences (l"hopital, squeezing theorem: series. Series with positive terms (integral test, comparison test, limit comparison) Ratio test and root test: power series. Finding radius of convergence and interval of convergence. In each problem, you need to provide reasonable explanation for your answer in order to get credit for your work!: problem 1. Determine whether the sequence below is convergent or divergent. If convergent, nd its limit. an = ln n. Determine whether the series is absolutely convergent, conditionally convergent or di- vergent. Using the integral test, determine whether the series is convergent or divergent: problem 5. Find the radius of convergence and interval of convergence of the series. Xn=1 (x + 2)n n4n: problem 7 (a) find a power series representation for f (x) = arctan(x2) and determine its radius of convergence. (b) express the inde nite integral below as a power series.
