a.
To find: Radius of convergence of series.
a.
Answer to Problem 59RE
Radius of convergence is equal to
Explanation of Solution
Given:
Function is given,
Calculation:
First by using ratio test checking convergence test, we get
Since,
Therefore, series is convergent in nature and radius of convergence is
b.
To Approximate: value of
b.
Answer to Problem 59RE
Value of
Explanation of Solution
Given:
Function is given,
First three terms of series are,
Now, substituting
c.
To estimate: The error involved in part |(b)
c.
Answer to Problem 59RE
Error is equal to 0.132
Explanation of Solution
Given:
Function is given,
Calculation:
Now, by alternating series estimation theory error of the series cannot be more than fourth term of series.
Therefore, error is equal to.
So error in estimation is 0.132
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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