MTH 240 Lecture Notes - Lecture 5: Ratio Test, Ibm System P

• School: Ryerson University
• Department: Mathematics
• Course: MTH 240
• Professor: Changping Wang

Document Summary

This document is intended to summarize various tests used to determine convergence/divergence of series in calculus ii (mth 240). It cannot be used in anyway as an aid in closed-book tests/quizzes. Where a n n f n and f is. The value of the integral is not the value of the series. Telescopic series partial sums ( ns ) only have a fixed number of terms after cancellation lim n s n lim n s n. The sum of the series can be found by lim n s n. 0 b n and b n a n. 0 lim n b n and b n. The test determines absolute convergence. b n ( 1)n. 1 n b n nb is non- increasing and lim n b n. 1 a n a n n lim n a n.