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# Approximations with Taylor polynomialsa. | Ch 9.1 - 40E ISBN: 9780321570567 2

## Solution for problem 40E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 40E

Approximations with Taylor polynomialsa. Approximate the given quantities using Taylor polynomials with n = 3.b. Computer the absolute error in the approximation assuming the exact value is given by a calculator.

Step-by-Step Solution:

Solution 40EStep 1:A Taylor series of function f(x) at a is defined as :-Taking Finding Taylor polynomial of with and centered at a, we get To approximate , we take Step 2:Now to approximate , we use Step 3:Using in , we get Hence the approximate value of using taylor polynomial is .

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321570567

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