To find the Taylor polynomial:

asked 2021-05-11

Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.

\(f(x)=x+e^{-x}, a=0\)

\(f(x)=x+e^{-x}, a=0\)

asked 2021-09-03

Calculate the Taylor polynomials \(T2(x)\) and \(T3(x)\) centered at \(x=9\) for \(f(x)=\ln(x+1)\).

asked 2021-09-11

Suppose you want to estimate \(\displaystyle\sqrt{{{26}}}\) using a fourth-order Taylor polynomial centered at \(\displaystyle{x}={a}\) for \(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{x}}}\). Choose an appro-priate value for the center a.

asked 2021-12-04

Find the nth Taylor polynomial centered at c. \(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{x}^{{{2}}}},{n}={4},{c}={2}\)

asked 2021-09-09

Taylor polynomials for \(\displaystyle{e}^{{x}}\)

a. Find the Taylor polynomials of order \(\displaystyle{n}={0},{1},{2},\) and 3 for \(\displaystyle{f{{\left({x}\right)}}}={e}^{{x}}\) centered at 0.

a. Find the Taylor polynomials of order \(\displaystyle{n}={0},{1},{2},\) and 3 for \(\displaystyle{f{{\left({x}\right)}}}={e}^{{x}}\) centered at 0.

asked 2021-09-07

What are the taylor polynomials \(\displaystyle{p}_{{4}}\) and \(\displaystyle{p}_{{5}}\) centered at \(\displaystyle{\frac{{\pi}}{{{6}}}}\) for \(\displaystyle{f{{\left({x}\right)}}}={\cos{{\left({x}\right)}}}\)

asked 2021-09-05