Taylor expansion calculator
Taylor expansion calculator : How to use it?
The taylor series calculator allows to calculate the Taylor expansion of a function.
Syntax :
taylor_series_expansion(function;variable;value;order),
- function: the function at which the expansion is researched,
- variable: the variable used for the expansion,
- value: the point at which the expansion is researched,
- order: order of the expansion.
Examples :
taylor_series_expansion(`cos(x);x;0;4`), returns `(x^4)/24+(-x^2)/2+1`
The online taylor series calculator helps determine the Taylor expansion of a function at a point. The Taylor expansion of a function at a point is a polynomial approximation of the function near that point. The degree of the polynomial approximation used is the order of the Taylor expansion.
- Usual function Taylor expansion
- Calculation of the Taylor series expansion of any differentiable function
The calculator can calculate Taylor expansion of common functions.
For example, to calculate Taylor expansion at 0 of the cosine function to order 4, simply enter taylor_series_expansion(`cos(x);x;0;4`) after calculation, the result is returned.
To calculate dl at 0 of the exponential function to order 5, simply enter taylor_series_expansion(`exp(x);x;0;5`), , after calculation, the result is returned.
To calculate Taylor expansion at 0 of the `f: x->cos(x)+sin(x)/2`, to order 4, simply enter taylor_series_expansion(`cos(x)+sin(x)/2;x;0;4`) after calculation, the result is returned.
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