To find: First three nonzero term, general term and interval of convergence of the given function.
Answer to Problem 9E
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 function is,
Now,
Maclaurin series of
And Maclaurin series of
So 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
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