CAS MA 124 Study Guide - Midterm Guide: Improper Integral, Absolute Convergence

• School: Boston University
• Department: Mathematics & Statistics
• Course: CAS MA 124
• Professor: All

Document Summary

Ma 124 - spring "10 - exam 2 - prof. meuser: (13 points) consider the de nite integral (cid:90) 0. Explain your answer: determine whether this integral converges or diverges. Explain your answer using properties of integrals and limits: (14 points) determine whether the improper integral (cid:90) xe x dx. Write any necessary limits or theorems needed to determine your answer. For any limits you are nding, explain why those limits exist or do not exist using properties of limits: (14 points) determine whether the following sequences converge or diverge. converge nd the limit. If they: an = ( 1)n n (n + 1)2, an = n2e n, (14 points ) consider the number. (cid:88) n=1 ne n n3 n4 1: (13 points) determine whether the following series converges or diverges. Question 7 is on the back of this page: (15 points) consider the series.