The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.

Limit calculator

The limit calculator finds if it exists the limit at any point, at the limit at 0, the limit at `+oo` and the limit at `-oo` of a function.

Calculating the limit at a of a function

It is possible to calculate the limit at a of a function where a represents a real :
• If the limit exists and that the calculator is able to calculate, it returned.
• For the calculation result of a limit such as the following : `lim_(x->a) sin(x)/x`, enter : limit(`x^2+x;x;a`)

Calculating the limit at 0 of a function

It is possible to calculate the limit at 0 of a function :
• If the limit exists and that the calculator is able to calculate, it returned.
• For the calculation result of a limit such as the following : `lim_(x->0) sin(x)/x`, enter : limit(`sin(x)/x;x`)

Calculating the limit at plus infinity of a function

It is possible to calculate the limit at + infini of a function :
• If the limit exists and that the calculator is able to calculate, it returned.
• For the calculation result of a limit such as the following : `lim_(x->+oo) sin(x)/x`, enter : limit(`sin(x)/x`)

Calculating the limit at minus infinity of a function

It is possible to calculate the limit at - infini of a function :
• If the limit exists and that the calculator is able to calculate, it returned.
• For the calculation result of a limit such as the following : `lim_(x->-oo) sin(x)/x`, enter : limit(`sin(x)/x`)

Syntax :

limit(function;variable;value),

Examples :

To calculate the limit of `sin(x)/x` at 0 respect to x,
enter :

• limit(`sin(x)/x;x`)
or
• limit(`sin(x)/x`),

The calculator returns 1