# Suppose you approximate sin x at the points x = -0.2, -0.1, 0.0, 0.1, and 0.2 using

## Question:

Suppose you approximate sin x at the points x = -0.2, -0.1, 0.0, 0.1, and 0.2 using the Taylor polynomials p_{3} = x - x^{3}/6 and p_{5} = x - x^{3}/6 + x^{5}/120. Assume that the exact value of sin x is given by a calculator.

a. Complete the table showing the absolute errors in the approximations at each point. Show two significant digits.

b. In each error column, how do the errors vary with x? For what values of x are the errors the largest and smallest in magnitude?

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**Related Book For**

## Calculus For Scientists And Engineers Early Transcendentals

**ISBN:** 9780321849212

1st Edition

**Authors:** William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran