b) The Taylor series of ſ(x) about x=a can be expressed as x? x3 f(a + x) = f(a) +xf'(a) +f"(a) + 31 f"(a) + ... 2! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
icon
Related questions
Question
100%

hi, can you help me with the whole question.

thank you

b) The Taylor series of f(x) about x=a can be expressed as
x2
x3
f (a + x) = f(a) + xf'(a) +
-f"(a) +
2!
f'"'(a) + ··
3!
by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal
places).
Transcribed Image Text:b) The Taylor series of f(x) about x=a can be expressed as x2 x3 f (a + x) = f(a) + xf'(a) + -f"(a) + 2! f'"'(a) + ·· 3! by using the Taylor series, calculate cos47°, show all the steps of your work (correct to 4 decimal places).
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer