limit calculator
Limit calculator : How to use it?
The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.
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
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`)
See also
Other resources
List of related calculators :
- Even or odd function calculator : is_odd_or_even_function. Calculator for determining whether a function is an even function and an odd function.
- Partial fraction decomposition calculator : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Derivative calculator : derivative. The derivative calculator allows steps by steps calculation of the derivative of a function with respect to a variable.
- Taylor expansion calculator : taylor_series_expansion. The taylor series calculator allows to calculate the Taylor expansion of a function.
- Properties of a numerical function : study_function. This calculator lets you study a function using the following algebraic calculation tools: derivative, antiderivative, is_odd_or_even_function, equation_tangent_line, discriminant, degree, valuation.
- Integral calculator : integral. The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
- Indefinite integral calculator : antiderivative. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
- Limit calculator : limit. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.