CASTI-89 TITANIUM · CALC89
taylor(
Returns the Taylor polynomial of an expression up to a given order, around 0 or around a chosen point.
Syntax
taylor(expr, var, order[, point])
- Group
- Calculus
- Arguments
- Takes the expression, the variable, the order and an optional expansion point.
- Availability
- Pro feature in Calc89
- Menu path
- F3 Calc ▸ taylor(
Example
| Input | Result |
|---|---|
| taylor(ℯ^(x),x,4) | x4/24+x3/6+x2/2+x+1 |
Typing taylor(ℯ^(x),x,4) on the home screen and pressing ENTER returns x4/24+x3/6+x2/2+x+1.
Keystrokes on the TI-89 Titanium
F38
The same key sequence inserts taylor( in Calc89, and the AI tutor shows it step by step on the on-screen keypad.
Related commands
- Π(Computes the product of an expression as the variable runs from a lower to an upper value.
- Σ(Computes the sum of an expression as the variable runs from a lower to an upper value.
- ∫(Integrates an expression with respect to a variable.
- arcLen(Returns the arc length of the graph of an expression between two values of the variable.
- d(Differentiates an expression symbolically with respect to a variable.
- deSolve(Solves first and second order ordinary differential equations symbolically.
- dominantTerm(Returns the term of an expression that dominates near a point, for example as the variable tends to infinity.
- euler(Solves a differential equation numerically with Euler's method and returns a matrix with the variable values in the first row and the solution values in the second.