Limit

Limit(expr, x->x0)

gives the limit of expr as x approaches x0

Limit(expr, x->x0, Direction->-1)

gives the limit as x decreases in value approaching x0 (x approaches x0 “from the right” or “from above”)

Limit(expr, x->x0, Direction->1)

gives the limit as x increases in value approaching x0 (x approaches x0 “from the left” or “from below”)

See:

• Wikipedia - Limit of a function
• Wikipedia - One-sided limit
• Wikipedia - L’Hôpital’s rule

Examples

>> Limit(7+Sin(x)/x, x->Infinity)
7

>> Limit(x^(-2/3),x->0)
Indeterminate

>> Limit(x^(-2/3),x->0 , Direction->-1)
Infinity

Related terms

D, DSolve, Integrate, ND, NIntegrate

Implementation status

• ✅ - full supported

Github

• Implementation of Limit

• Rule definitions of Limit