To find: First three nonzero term, general term and interval of convergence of the given function.
Answer to Problem 12E
The first three nonzero terms are,
The general term is,
And the series will converge for all real values of x .
Explanation of Solution
Given:
The given function is,
Calculation:
As, the Maclaurin series of
So for Maclaurin series of
So, the first three nonzero terms are,
And the general term of the series is
Now, for determining the interval of convergence use ration test. So,
As it is always less than 1.
Hence, the series will converge for all real values of x .
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Precalculus
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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