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Give the 4th-Degree Taylor Polynomial For f(x)=xf ( x ) = \sqrt { x }

Question 249

Essay

Give the 4th-degree Taylor polynomial for f(x)=xf ( x ) = \sqrt { x } about the point x=4x = 4 . Using this polynomial, approximate 4.2\sqrt { 4.2 } . Give the maximum error for this approximation.

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