Concept explainers
To show : The value of
Explanation of Solution
Given information:
Calculation:
Remember that the Maclaurin series for
This is also the formula for the sum of a geometric series, given that the ratio of the geometric series is in between -1 and 1.
Find the Lanrange error formula
Where
Also recall that the Lagrange error formula is given by
Where
Also recall that the Lagrange error formula is given by
Where c is the value that maximizes
So, calculate
Next, look at the first several derivatives of the function to find a pattern for the
The
So, the following statement holds by finding the
The value that maximizes this function is
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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