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Lecture

# 11.8 Power Series Question #2 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
11.8 Infinite Sequences & Series Power Series Question #2 (Medium): Radius and Interval of Convergence for Power Series Strategy 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 ( ) Sample Question Find the radius of convergence and interval of convergence of the series. ∑ ( ) ( ) Solution In order to find the radius, first put into the
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