Joyce wants to approximate the value of f(a) for some a [-0.2,0.2] notation. accurate to one decimal using the nth-degree Taylor polynomial for f(x) = In(1 + 2x) = centred at a = 0. That is, she wants the difference between her approximation to the function value and the actual function value to be at most 0.05. What is the minimum value of n that Joyce should use?
Joyce wants to approximate the value of f(a) for some a [-0.2,0.2] notation. accurate to one decimal using the nth-degree Taylor polynomial for f(x) = In(1 + 2x) = centred at a = 0. That is, she wants the difference between her approximation to the function value and the actual function value to be at most 0.05. What is the minimum value of n that Joyce should use?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Joyce wants to approximate the value of f(a) for some a [-0.2,0.2]
notation.
accurate to one decimal using the nth-degree Taylor polynomial for f(x) = In(1 + 2x) = centred at a = 0. That is, she wants the difference between her approximation to the function value and the actual function value to be at most 0.05. What is the minimum value of n that Joyce should use?
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