Taylor expansion calculator

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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

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.

Calculation of the Taylor series expansion of any differentiable function

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.