Computing true percent relative error (Taylor Series)

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jegues
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Homework Statement



See figure attached,

Textbook page showing the Maclaurin series e^x = 1 + x + x^2/2 + x^3/3! + ... + x^n/n!, followed by problems 4.3(a) and (b) about Taylor series expansion and estimating f(x) = e^(-x).


Homework Equations





The Attempt at a Solution



Isn't the Maclaurin series just simply the Taylor series around 0?

[tex](\text{i.e. } (x-c), \quad c=0, \quad x )[/tex]

Also for part B, how do we go about solving for [tex]| \epsilon_{t} |[/tex]?

Thanks again!
 
Attachments
  • Textbook page showing the Maclaurin series for e^x, e^x = 1 + x + x^2/2 + x^3/3! + ... + x^n/n!, followed by numbered exercise parts (a) and (b) about Taylor series expansions.
    Q4.3.JPG
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