Taylor expansion calculator

How to use this calculator

The example requests three terms about $x=1$. Edit the expression, term count and center in $\operatorname{taylor}(\text{expression},\text{count},\text{center})$.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

A truncated series is an approximation near its expansion point, not an identity everywhere.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.