Answer Happy

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

: Let F X X1 0 6 X 1 4 Suppose That We Approximate F X By The 3rd Degree Taylor Polynomial T3 X Centered At A 1 Tay 1 (13.38 KiB) Viewed 40 times

Let f(x)=x1,0.6≤x≤1.4. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3(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)=x1​,0.6≤x≤1.4. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3​(x) centered at a=1. Tay

Let f(x)=x1​,0.6≤x≤1.4. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3​(x) centered at a=1. Tay

Let f(x)=x1,0.6≤x≤1.4. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3(x) centered at a=1. Tay

Let f(x)=x1,0.6≤x≤1.4. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3(x) centered at a=1. Tay