Mathlean · Online math workspace

Series calculator

Expand a supported function locally with its remainder order retained.

How to use this calculator

Edit Series(expression, variable, center, order). The starter expands the exponential about zero through degree 4.

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

Series⁡(ex,x,0,4)\operatorname{Series}\left(e^x,x,0,4\right)

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

What to know

The order term is not an evaluated error bound; a local expansion does not establish global convergence.

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

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