For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no greater than 5 * 10-4 ? Give reasons for your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.7: The Tangent Ration
Problem 17E
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For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no greater than 5 * 10-4 ? Give reasons for your answer.

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