MAT 21C Lecture Notes - Lecture 8: Ratio Test

• School: UC-Davis
• Department: Mathematics
• Course: MAT 21C
• Professor: John Hunter

Document Summary

Mat 21c lecture 8 power series calculation before which used polynomials: a power series (centered at x = 0) is a series of the form (cid:2868)+(cid:2869)+ =(cid:2868) (cid:2870)(cid:2870)+(cid:2871)(cid:2871)+ where (cid:2868),(cid:2869),(cid:2870), are coefficients and x is the variable: every power series converges in some interval r < x < r and diverges in ||> where (cid:882)(cid:3409)(cid:3409) is the radius of convergence of the power series. If = 0 for all n > n, then (cid:2868)+(cid:2869)+ + =(cid:2868) represents a geometric series with rate, x. The series converges if ||