 Taylor Approximation of a Univariate Function - Maple Help

Home : Support : Online Help : Tasks : Calculus - Differential : Taylor Approximation : Taylor Approximation of a Univariate Function Taylor Approximation Description Calculate the Taylor approximation of a specified degree for a univariate function.

Enter the function as an expression.

 > ${\mathrm{cos}}\left({x}\right){+}{\mathrm{sin}}\left({x}\right)$
 ${\mathrm{cos}}{}\left({x}\right){+}{\mathrm{sin}}{}\left({x}\right)$ (1)

Specify the order, and then calculate the Taylor approximation.

 >
 ${1}{+}{x}{-}\frac{{1}}{{2}}{}{{x}}^{{2}}{-}\frac{{1}}{{6}}{}{{x}}^{{3}}{+}\frac{{1}}{{24}}{}{{x}}^{{4}}{+}\frac{{1}}{{120}}{}{{x}}^{{5}}$ (2)

Alternatively, you can use the Taylor Approximation tutor, a point-and-click interface. There are two ways to launch this tutor.

 • From the Tools menu, select Tutors, Calculus - Single Variable, and then Taylor Approximation.
 • Enter the function in one variable to be approximated below, then click the following Taylor Approximation button.
 >  Commands Used See Also