# \projlim

Used in algebra, topology, and category theory to denote a projective/inverse limit, often with subscripts indicating the indexing system.

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

## Metadata

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

## Syntax

### ams

Argument specification: ``

Used in algebra, topology, and category theory to denote a projective/inverse limit, often with subscripts indicating the indexing system.

## Examples

```latex
\projlim_{n}
```

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

## Renderer support

| Package | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- |
| ams | full | full | full |

## Usage frequency

<0.01% of formulas in the measured corpus contain this entry, rank 242 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)
- [\\liminf](https://texform.dev/latex/commands/liminf)
- [\\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)
- [\\sup](https://texform.dev/latex/commands/sup)

## Test cases

### ams

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