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Find the Second-Degree Taylor Polynomial For f(x)=xf ( x ) = \sqrt { x }

Question 54

Essay

Find the second-degree Taylor polynomial for f(x)=xf ( x ) = \sqrt { x } , centered about a=100a = 100 . Also obtain a bound for the error in using this polynomial to approximate 100.1\sqrt { 100.1 } .

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