Tofind:The radius of convergence of given power series.
Answer to Problem 9E
The radius of convergence of the series
Explanation of Solution
Given information:
The given power series is
Method used:
Let
Let
The radius of convergence R of series
Calculations:
The given series is
Here,
Thus, the series is convergent when
The series is divergent when
Hence, the radius of convergence of the series
Conclusion:
The radius of convergence of the series
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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