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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

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

Advanced Engineering Mathematics
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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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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