a.
To find: first 3 terms of taylor series
a.
Answer to Problem 57RE
Explanation of Solution
Given:
Concept Used:
Calculation:
Conclusion: the first 3 terms are
b.
To find: the interval in which the function is convergent.
b.
Answer to Problem 57RE
Converging on all real number
Explanation of Solution
Given:
Concept Used: the value of sin is always less than 1
Calculation:
Conclusion: the series is absolutely convergent.
c.
To find: minimum terms required to not exceed 0.1 in magnitude
c.
Answer to Problem 57RE
2
Explanation of Solution
Given: interval is (-2,2)
Concept Used: alternating series estimation theorem
Calculation:
Approximating to one term
2 terms
3 terms
The series has been stable to 4 decimals
Conclusion: minimum 2 terms is required to not exceed a 0.1 error
Chapter 9 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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