Suppose x E R and ĩ is the nearest machine number, stored in binary64. If x > 254, why is there no point in estimating sin(x) using sin(ã)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 30EQ
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Suppose x E R and ĩ is the nearest machine number, stored in binary64. If
x > 254, why is there no point in estimating sin(x) using sin(ã)?
Transcribed Image Text:Suppose x E R and ĩ is the nearest machine number, stored in binary64. If x > 254, why is there no point in estimating sin(x) using sin(ã)?
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