Question
Asked Jan 24, 2020
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Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - x) at x = 0. Give an upper bound for the magnitude of the error in the approximation when |x|<= 0.1.

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Expert Answer

Step 1

The given function is,

Calculus homework question answer, step 1, image 1
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Step 2

Find the value of  f(0) as follows.

Calculus homework question answer, step 2, image 1
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Step 3

Differentiate Equation (3) with respect to x as follows Sub...

Calculus homework question answer, step 3, image 1
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