MATH 022 Study Guide - Final Guide: Bounded Function, Improper Integral, Divergent Series
Document Summary
Read each problem carefully and follow all of its instructions. For each of the problems below, write a clear and concise solution in your blue book. Solutions must be simplified as much as possible, no full credit for partially completed problems. When using tests for convergence identify the test and reason why series converges/diverges. Blue books with torn or missing pages will not be accepted : (10 pts) answer the following always true(t) or false(f) . Only your final answers will be graded on these problems. 2 dxx is an example of improper integral. )6 has a symmetry about the pole: if an > 0 and an > an+1 then na converges, every bounded sequence converges. Since 1n divergent, limit comparison test proves that na also convergent also divergent. ln( n n. 2/( x e dx: (10 pts) compute the integral. 4: sketch the region bounded by y=x3, x=0 and y = 1.
