Limit Calculator

Evaluate limits of rational, trigonometric, and exponential functions. Shows left limit, right limit, and existence.

Function Type

Coefficient a

Coefficient b

x approaches

Tab to move between fields

Limit

Left Limit-0

Right Limit0

Limit ExistsYes

How to Use This Calculator

Select the function type (rational, trig, exponential, or logarithmic) and enter the function parameters.
Enter the x value that x approaches; the calculator evaluates the function from both sides.
Left-hand limit and right-hand limit are computed separately; the two-sided limit exists only if both are equal.
For indeterminate forms (0/0, ∞/∞), the calculator applies L'Hôpital's rule or algebraic simplification.
The chart plots the function near the limit point so you can visually confirm continuity or a jump discontinuity.
A limit of ±∞ indicates a vertical asymptote at the chosen x value.

What each input means

Identify Input Parameters
4 parameters
Function Type = 1, Coefficient a = 1, Coefficient b = 1, x approaches = 0 = 4 input(s) provided
Calculate Limit
0 = 0
Calculate Left Limit
Left Limit
0 = 0
Calculate Right Limit
Right Limit
0 = 0

Engine last updated August 5, 2026. Checked against 6 independently-derived tests — how we verify calculators.

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