The function x5e-x* can be written as a Taylor series expanded form: x5e-x1 = ΣΕ k=0 Write a user-defined function file that calculates x5e-x* by using the Taylor Series. For function name and arguments use: y = my_taylor (x, n) The input arguments are the value of 'x' and 'n' the number of terms in the series. Use the function to calculate x = −0.75 using 3 and 8 terms and compare the result by using a built-in function y1 = x³e-x*. Use 12 decimal places. Compute also for the relative percent error. е (−1)k k! -x4k+5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 40E
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3.
The function x5e-x* can be written as a Taylor series expanded
form:
x5e-x* =
x4k+5
k!
k=0
-x4
by using
Write a user-defined function file that calculates x'e
the Taylor Series. For function name and arguments use:
y = my_taylor (x, n)
The input arguments are the value of 'x' and 'n' the number of
terms in the series. Use the function to calculate x = -0.75 using
3 and 8 terms and compare the result by using a built-in function
y1
relative percent error.
%3D
xe-**. Use 12 decimal places. Compute also for the
%3D
Transcribed Image Text:3. The function x5e-x* can be written as a Taylor series expanded form: x5e-x* = x4k+5 k! k=0 -x4 by using Write a user-defined function file that calculates x'e the Taylor Series. For function name and arguments use: y = my_taylor (x, n) The input arguments are the value of 'x' and 'n' the number of terms in the series. Use the function to calculate x = -0.75 using 3 and 8 terms and compare the result by using a built-in function y1 relative percent error. %3D xe-**. Use 12 decimal places. Compute also for the %3D
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