(b) The Taylor series of f(x) about x = a can be expressed as f(a + x) = f(a) + Σn=1 500 x.. d(¹)f(x) |___ = f(a) + xƒ'(a) + ƒ" (a) + ƒ''(a) + ... n! dxn x=a By using the Taylor series, calculate sin 47°. (Hint: sin(45°) = =/2 (Round your final answer to four decimal places. You should show the complete procedure of your calculation).
(b) The Taylor series of f(x) about x = a can be expressed as f(a + x) = f(a) + Σn=1 500 x.. d(¹)f(x) |___ = f(a) + xƒ'(a) + ƒ" (a) + ƒ''(a) + ... n! dxn x=a By using the Taylor series, calculate sin 47°. (Hint: sin(45°) = =/2 (Round your final answer to four decimal places. You should show the complete procedure of your calculation).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please can I have the correct solution to this mathematics problem in a step by step form. Thanks very much.
Transcribed Image Text:(b) The Taylor series of f(x) about x = a can be expressed as
f(a + x) = f(a) + Σn=1
xnd(n) f(x)
n! dxn
=ƒ(a) + xƒ'(a) +ƒ"(a) + ª fƒ''' (a) + ...
x=a
3!
By using the Taylor series, calculate sin 47°. (Hint: sin(45°) =)
(Round your final answer to four decimal places. You should show the
complete procedure of your calculation).
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