Answer Happy

Posted: **Thu Jul 14, 2022 4:41 pm**

: Let F X X21 0 9 X 1 1 Suppose That We Approximate F X By The 3rd Degree Taylor Polynomial T3 X Centered At A 1 Ta 1 (17.42 KiB) Viewed 34 times

: Let F X X21 0 9 X 1 1 Suppose That We Approximate F X By The 3rd Degree Taylor Polynomial T3 X Centered At A 1 Ta 2 (18.51 KiB) Viewed 34 times

Let f(x)=x21,0.9≤x≤1.1. 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.
If f(x) has the following Taylor series, n=0∑∞(n+1)(n+2)5n(x+2)n find the value of f(3)(−2).

Answer Happy

Let f(x)=x21​,0.9≤x≤1.1. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3​(x) centered at a=1. Ta

Let f(x)=x21​,0.9≤x≤1.1. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3​(x) centered at a=1. Ta

Let f(x)=x21,0.9≤x≤1.1. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3(x) centered at a=1. Ta

Let f(x)=x21,0.9≤x≤1.1. Suppose that we approximate f(x) by the 3rd degree Taylor polynomial T3(x) centered at a=1. Ta