MAT136H1 Study Guide - Midterm Guide: Limit Comparison Test
92
MAT136H1 Full Course Notes
Verified Note
92 documents
Document Summary
Limit comparison test states that for series with positive terms and , if for a finite number , then both series converge or both series diverge. So set a similar series function , and set the ratio and see what happens as. If the ratio becomes a fine number, then given the information known about , conclusion can be made about the original series function as to whether it is convergent or divergent. Using the limit comparison test, determine if the series converges or diverges. To put into limit comparison test ratio form, the simpler series function can be set as. Since the ratio becomes a finite number of 1, the original series takes after the characteristic of the new series function . is a geometric series with the ratio | |
