MATH201 Lecture Notes - Lecture 22: Minuscule 22, Qnx, Talking Lifestyle 1278

• School: University of Alberta
• Department: Mathematics
• Course: MATH201
• Professor: van

Document Summary

Math 201 lecture 24: power series method: analytic coefficients. 09, 2012: many examples here are taken from the textbook. The rst number in () refers to the problem number in the ua custom edition, the second number in () refers to the problem number in the 8th edition: determine the convergence set for, review. So we know that the power series converges for all |x 3| < 1 while diverges for all |x 3| > 1. To determine the convergence set we will need to look at |x 3| = 1, or x = 2, 4: at x = 2, we have which converges, at x = 4, we have. Xn=0 (2 3)n n3 = xn=0 ( 1)n n3 which also converges. 2 6 x 6 4: determine a lower bound of the radius of convergence for power series solutions of (1 + x2) y + 3 x y + 5 y = 0.