To find: The value of alternating series error bound.
Answer to Problem 19E
The truncation error is less than
Explanation of Solution
Given information:
Calculation:
Because the terms of the series meet all three of the characteristics indicated in Chapter 10—they alternate in sign, decrease in absolute value, and approach
The truncation error is therefore smaller than the absolute value of the term at
Therefore, the required truncation error is less than
To find: The Lagrange error formula.
Answer to Problem 19E
The truncation error is less than
Explanation of Solution
Given information:
Calculation:
Since the fourth derivative of sine is zero at
And
But
thus
The
Therefore, the required truncation error is less than
Chapter 9 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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