Mathlean · Online math workspace
Residue calculator
Find the coefficient of the reciprocal term in a supported local Laurent expansion.
How to use this calculator
Edit the rational function and the point z=0 inside Res. The residue of 1/z at zero is 1.
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
Specify the variable and point. Branch points and non-isolated singularities are not ordinary poles.
Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.