a.
To find: the interval of convergence.
Given:
The given series
Formula used:
If the sequence of partial sum has a limit as
For series to be convergent the term should approach to zero, that is common ratio should be less than
Calculation:
In geometric series
Here in
Common ratio is
Since the given geometric series converges.
Therefore
This can be written as
The interval of convergence is
b.
To find: the function represented by the series.
Given:
The given series
Formula used:
The sum of the infinite geometric series whose ratio is less than 1.
Calculation:
In
Given that the geometric series converges.
Sum of series is given by:
The function represented by the series
a.
Answer to Problem 4QQ
Explanation of Solution
Given:
The given series
Formula used:
If the sequence of partial sum has a limit as
For series to be convergent the term should approach to zero, that is common ratio should be less than
Calculation:
In geometric series
Here in
Common ratio is
Since the given geometric series converges.
Therefore
This can be written as
The interval of convergence is
b.
To find: the function represented by the series.
b.
Answer to Problem 4QQ
Explanation of Solution
Given:
The given series
Formula used:
The sum of the infinite geometric series whose ratio is less than 1.
Calculation:
In
Given that the geometric series converges.
Sum of series is given by:
The function represented by the series
Chapter 9 Solutions
CALCULUS-W/XL ACCESS
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