Taylor Polynomial for a Univariate Function - Maple Programming Help

Taylor Polynomial for a Univariate Function

 Description Calculate the Taylor expansion for a univariate function about a specified point and up to a specific order.

Enter the function as an expression:

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 ${2}{}{{ⅇ}}^{{x}}{+}{1}$ (1)

Specify an expansion point and an expansion order, and then calculate the Taylor series:

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 ${3}{+}{2}{}{x}{+}{{x}}^{{2}}{+}\frac{{1}}{{3}}{}{{x}}^{{3}}{+}\frac{{1}}{{12}}{}{{x}}^{{4}}{+}{\mathrm{O}}\left({{x}}^{{5}}\right)$ (2)
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Alternatively, you can use the following interface to calculate the Taylor expansion and Taylor polynomial:

 Taylor Expansions and Polynomials Enter the function:  $f\left(x\right)=$ Degree:                Base-Point: 

 Commands Used