illustrate Taylor approximation - Maple Programming Help

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Student[Calculus1][TaylorApproximationTutor] - illustrate Taylor approximation

 Calling Sequence TaylorApproximationTutor(f, a) TaylorApproximationTutor(f, var=a)

Parameters

 f - (optional) algebraic expression in one variable var a - (optional) point var - (optional) variable

Description

 • The TaylorApproximationTutor(f) command launches a tutor interface that calculates the Taylor polynomial of f at the point a and displays the Taylor approximations graphically.
 If f is not specified, TaylorApproximationTutor uses a default function.
 If a is not specified, TaylorApproximationTutor uses a default point.
 If var is not specified, TaylorApproximationTutor uses a default variable.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{Calculus1}]\right):$
 > $\mathrm{TaylorApproximationTutor}\left(\right)$
 > $\mathrm{TaylorApproximationTutor}\left(1-{ⅇ}^{x}\right)$
 > $\mathrm{TaylorApproximationTutor}\left(1-{ⅇ}^{x},0\right)$
 > $\mathrm{TaylorApproximationTutor}\left(1-{ⅇ}^{x},x=0\right)$

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