Limit Calculator

Calculate the limit of a function as x approaches a value. See values approaching from both left and right to understand limit behavior.

Enter Function

Use x as the variable, ^ for exponents

f(x) =

Supported: +, -, *, /, ^, sqrt(), sin(), cos(), tan(), ln(), log(), abs(), pi

As x approaches

Direction

Result

Enter a function to calculate its limit

Common Limit Examples

lim (x²-1)/(x-1) as x→1 = 2

Factor: (x+1)(x-1)/(x-1) = x+1

lim sin(x)/x as x→0 = 1

Fundamental trig limit

Frequently Asked Questions

A limit describes the value that a function approaches as the input approaches some value. It is fundamental in calculus.

A limit does not exist when: the left and right limits differ, the function oscillates infinitely, or the function goes to infinity.

The left limit approaches from values less than a, while the right limit approaches from values greater than a.

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