<)=) k=0 x²k+1 (2k + 1)! For the x = value of the whose series expansion is given on the side, first e the real value using a calculator (with 3 digits of ion after the decimal point). Then, in the series nsion, take the maximum 7th order terms and n the real result step by step. Calculate the actual e percent error (&) and the approximate relative rror (82) for your function estimates for each step and show them with a table.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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sinh(x)=) k=0 x²k+1 (2k + 1)! For the x = value of the
function whose series expansion is given on the side, first
calculate the real value using a calculator (with 3 digits of
precision after the decimal point). Then, in the series
expansion, take the maximum 7th order terms and
approach the real result step by step. Calculate the actual
relative percent error (&) and the approximate relative
percent error (82) for your function estimates for each step
and show them with a table.
Transcribed Image Text:sinh(x)=) k=0 x²k+1 (2k + 1)! For the x = value of the function whose series expansion is given on the side, first calculate the real value using a calculator (with 3 digits of precision after the decimal point). Then, in the series expansion, take the maximum 7th order terms and approach the real result step by step. Calculate the actual relative percent error (&) and the approximate relative percent error (82) for your function estimates for each step and show them with a table.
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