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Posted: **Thu Jul 14, 2022 4:42 pm**

: Let F X X21 0 8 X 1 2 Suppose That We Approximate F X By The 2 Nd Degree Taylor Polynomial T2 X Centered At A 1 T 1 (107.95 KiB) Viewed 43 times

Let f(x)=x21,0.8≤x≤1.2. 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.

Answer Happy

Let f(x)=x21​,0.8≤x≤1.2. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2​(x) centered at a=1. T

Let f(x)=x21​,0.8≤x≤1.2. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2​(x) centered at a=1. T

Let f(x)=x21,0.8≤x≤1.2. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2(x) centered at a=1. T

Let f(x)=x21,0.8≤x≤1.2. Suppose that we approximate f(x) by the 2 nd degree Taylor polynomial T2(x) centered at a=1. T