a.
To find: The radius of convergence for the power series
a.
Answer to Problem 4RE
Explanation of Solution
Given information:
Concept Used:
The power series will converge for
The radius of convergence is
Calculation:
Let us consider
Using ratio test find the limit of the ratio of
Since
The radius of convergence is
b.
To find: The interval of convergence for the series
b.
Answer to Problem 4RE
Explanation of Solution
Given information:
Concept Used:
The power series will converge for
The radius of convergence is
Calculation:
In part (a) calculated the radius of convergence is
So, the interval of convergence
Therefore, the interval of convergence is
c.
To find: The value of
c.
Answer to Problem 4RE
Explanation of Solution
Given information:
Concept Used:
The power series will converge for
The radius of convergence is
Calculation:
In part (a) calculated the radius of convergence is
In part (b) calculated the interval of convergence is
So, the value of
d.
To find: The value of
d.
Answer to Problem 4RE
Explanation of Solution
Given information:
Concept Used:
The power series will converge for
The radius of convergence is
Calculation:
In part (a) calculated the radius of convergence is
In part (b) calculated the interval of convergence is
So, the value of
Chapter 9 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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