Limit from the Left

Limit from the Left
Limit from Below

A one-sided limit which, in the example Limit as x approaches 0 from the left of 1/x equals negative infinity , restricts x such that x < 0.

In general, a limit from the left restricts the domain variable to values less than the number the domain variable approaches. When a limit is taken from the left it is written limit as x approaches c from the left of f(x), written with a superscript minus sign: lim x→c⁻ f(x) or Mathematical notation showing the limit of f(x) as x approaches a value from the left, written as lim f(x) with a left-arrow... .

For example, Limit notation: lim as x approaches 0 from the left of (1/x) equals negative infinity since $The fraction 1 over x (1/x)$ tends toward –∞ as x gets closer and closer to 0 from the left.

Formal definitions of left-hand limits: finite (L), infinite (∞), and negative infinite (-∞), using epsilon-delta and N notation.

See also

Limit from the right, infinity