Problem #9: Let f(x)=x1​,0.5≤x≤1.5. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2​(x) centere

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Problem 9 Let F X X1 0 5 X 1 5 Suppose That We Approximate F X By The 2 Nd Degree Taylor Polynomial T2 X Centere 1 (146.73 KiB) Viewed 35 times

Problem #9: Let f(x)=x1​,0.5≤x≤1.5. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2​(x) centered at a=1. Taylor's inequaltiy gives an estimate for the error involved in this approximation. Find the smallest possible value of the constant M referred to in Taylor's Inequality. Problem #9: Enter your answer symbolically, as in these examples