(a)
The interval of convergence of the series
(a)
Answer to Problem 72RE
The interval of convergence is
Explanation of Solution
Given information:
The given series is,
Formula used:
Ratio test is used.
Calculation:
Check for absolute convergence using ratio test.
Hence,
Therefore,
That gives
Therefore, the interval of convergence is
Conclusion:
The interval of convergence is
(b)
The first nine terms that are sufficient to approximate f(-1)
(b)
Answer to Problem 72RE
The first nine terms are sufficient to approximate is
Explanation of Solution
Given information:
The given series is
Formula used:
The Alternating Series Estimation Theorem is used.
Calculation:
Putting
By the Alternating Series Estimation Theorem, since the size of the tenth term is
Therefore first nine terms is
Therefore first nine terms sufficient to approximate
Conclusion:
The first nine terms are sufficient to approximate is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
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