To find: Radius of convergence of the power series
Answer to Problem 9E
Radius of convergence of the series
Explanation of Solution
Given information: Series
Concept used :
If
If the interval of convergence is
Calculation:
Determine
The obtained series converges only when
Apply the absolute rule, if
Merge overlapping intervals.
Thus, the series converges absolutely for
Determine the radius of convergence for the given problem in the interval
As a result, radius of convergence for the given problem is
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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