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Use the Sixth-Degree Taylor Polynomial Centered at Zero for the Function

question 53

Multiple Choice

Use the sixth-degree Taylor polynomial centered at zero for the function f(x) =11+x2f ( x ) = \frac { 1 } { \sqrt { 1 + x ^ { 2 } } } to approximate the integral 02/311+x2\int _ { 0 } ^ { 2 / 3 } \frac { 1 } { \sqrt { 1 + x ^ { 2 } } } . Round your answer to nearest ten thousandth.

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