To find: First three nonzero term, general term and interval of convergence of the given function.
Answer to Problem 8E
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 Maclaurin series of
So for Maclaurin series of
So, the series is
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 very 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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