Limit

The limit of $f$ as its argument approaches $point$ , optionally from one side.

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Limit(f, point)

\lim_{x \to point} f(x)

, the two-sided limit.

Limit(f, point, direction)the one-sided limit, approaching

point

from above (

direction > 0

) or below (

direction < 0

Typed signatures

Type	Package	Applies
`(function, point: number, direction: number?) -> number`	`compute-engine`	always

Domain: Compute engine

Details

$f$ is a function value (Function(...)), not a bare expression with a free variable.

Plot

argument f of type function has no control

Basic #

$\lim_{x \to 0} \frac{\sin x}{x} = 1$

\lim_{→0}\frac{\sin(\operatorname{\_1})}{\operatorname{\_1}}

Out

1

Right-hand limit of $1/x$ at 0 is $+\infty$

\lim_{→0^{+}}\frac{1}{\operatorname{\_1}}

Out

∞

Limit of $1/x$ as $x \to \infty$ is 0

\lim_{→∞}\frac{1}{\operatorname{\_1}}

Out

0

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