a.
To state: The intervals of convergence of the series
a.
Answer to Problem 74E
The resultant answer is
Explanation of Solution
Given information:
The given series is
Formula used: The convergence of a series can be tested by the nth Root Test as stated below:
Let
Consider the given series:
The series of absolute value is:
Then,
The series converges absolutely if
Now check at
Check at
Therefore, the interval of convergence is
b.
To state: The intervals of convergence of the series
b.
Answer to Problem 74E
The resultant interval is
Explanation of Solution
Given information:
The given series is:
Consider the given series:
The series of absolute value is:
Then,
The series converges absolutely if
Now check at
Check at
Therefore, the interval of convergence is
c.
To state: The intervals of convergence of the series
c.
Answer to Problem 74E
The resultant answer is
Explanation of Solution
Given information:
The given series is
Consider the given series:
The series of absolute value is:
Then,
The series converges absolutely if
Now check at
Check at
Therefore, the interval of convergence is
d.
To state: The intervals of convergence of the series
d.
Answer to Problem 74E
The resultant answer is
Explanation of Solution
Given information:
The given series is
Consider the given series:
The series of absolute value is:
Then,
The series converges absolutely if
Now check at
Check at
Therefore, the interval of convergence is
Chapter 9 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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