MAT136H1 Lecture Notes - Ratio Test

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): radius and interval of convergence for power series. To get the radius of convergence, first put the series expression into the ratio test and get the outcome. If the outcome involves the variable x, then work around so that it is less than 1 for the power series to converge. If the outcome of the ratio test does not contain the variable x, then the values that x takes on have no effect on the outcome of the series. If the ratio test outcome is <1, then the interval for convergence is ( ) Find the radius of convergence and interval of convergence of the series. In order to find the radius, first put into the ratio test. The alternating sign factor does not need to be included at this point since the ratio goes inside the absolute value sign.