Limit Calculator

One- and two-sided limits, numerically and visually

Use x with + − * / ^ and functions like sin, cos, tan, ln, log, sqrt, abs, exp. Type inf or -inf for a limit at infinity.

A number, or inf / -inf.

lim[x→0] sin(x)/x
Limit
1
Left limit (x → a⁻)
1
Right limit (x → a⁺)
1

Removable discontinuity — f(a) is undefined, but the limit exists.

Numerical approach
From the left
xf(x)
-0.0010.9999998333
-0.00010.9999999983
-0.000011
-0.0000011
-0.00000011
From the right
xf(x)
0.0010.9999998333
0.00010.9999999983
0.000011
0.0000011
0.00000011
Graph of f(x) near the limit point, with the estimated limit marked. f(x) = sin(x)/xGraph of f(x) near the limit point, with the estimated limit marked. f(x) = sin(x)/xxy-4-3-2-11234-0.20.20.40.60.811