(1 + x) -3= 1 – 3x
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.4: Irrational Square Roots
Problem 9MRE
Related questions
Question
Verify the given linear approximation at a=0 . Then
determine the values of x for which the linear approximation is
accurate to within 0.1.
Expert Solution
Step 1
The linear approximation: for a function at is defined by the formula:
Step 2
Calculate for the function: as follows.
Substitute in the equation: to obtain the linear approximation of the function: at .
Hence, it is proved that .
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