Concept explainers
To find: The value of
Answer to Problem 60E
The value of
Explanation of Solution
Given:
The series of sequence is
Concept used:
The mathematical expression of infinite geometric series in general is written as
The convergence test of series states that the geometric series converges if
Furthermore, the convergence test of geometric series also ensures that the convergent infinite geometric series
Calculation:
The series of sequence is
Here, the initial term is
The values are obtained as
The given function fits the formula for infinite geometric series
Therefore, the geometric series including
Find the value of
Take
Therefore, the value of
Conclusion:
Thus, the value of
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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