# \liminf

Used for limit inferior notation in analysis, ergodic theory, and probability.

https://texform.dev/latex/commands/liminf

## Metadata

| Field | Value |
| --- | --- |
| Topic | [Functions and operators](https://texform.dev/latex/topics/functions) |
| Packages | base |
| Allowed mode | math |
| Tags |  |
| Commonality | medium |
| Kind | prefix |

## Syntax

### base

Argument specification: ``

Used for limit inferior notation in analysis, ergodic theory, and probability.

## Examples

```latex
\liminf
```

[Open in Playground](https://play.texform.dev/?input=%5Climinf)

```latex
\liminf_{n \to \infty}
```

[Open in Playground](https://play.texform.dev/?input=%5Climinf_%7Bn+%5Cto+%5Cinfty%7D)

## Renderer support

| Package | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- |
| base | full | full | full |

## Usage frequency

0.19% of formulas in the measured corpus contain this entry, rank 87 of 263 entries with frequency data.

## In TeXForm

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

## See also

- [\\det](https://texform.dev/latex/commands/det)
- [\\gcd](https://texform.dev/latex/commands/gcd)
- [\\inf](https://texform.dev/latex/commands/inf)
- [\\injlim](https://texform.dev/latex/commands/injlim)
- [\\lim](https://texform.dev/latex/commands/lim)
- [\\limsup](https://texform.dev/latex/commands/limsup)
- [\\max](https://texform.dev/latex/commands/max)
- [\\min](https://texform.dev/latex/commands/min)
- [\\Pr](https://texform.dev/latex/commands/Pr)
- [\\projlim](https://texform.dev/latex/commands/projlim)
- [\\sup](https://texform.dev/latex/commands/sup)

## Test cases

### base

| Input | Case | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- | --- |
| \liminf | Positive: baseline | Pass | Pass | Pass |