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Template:Limit
[⧼Purge⧽ Template:Limit]
The {{limit}} (or {{lim}}) mathematical formatting template is used to typeset limits in either HTML+CSS or LaTeX.
Usage
- {{limit|subscript or underscript}} (format defaults to htm)
or
- {{limit|subscript or underscript|format}}
or
- {{limit|subscript or underscript|inf}} (format defaults to htm)
or
- {{limit|subscript or underscript|inf|format}}
or
- {{limit|subscript or underscript|sup}} (format defaults to htm)
or
- {{limit|subscript or underscript|sup|format}}
where
- the first parameter is the subscript or underscript;
- the [optional] second parameter, is either
inf
(to get lim inf) orsup
(to get lim sup), otherwise yields lim; - the [optional] last parameter (format), case insensitive, is either
- htm: text style (subscript) HTML+CSS (default), or
- HTM: display style (underscript) HTML+CSS, or
- tex or TEX: LaTeX manages text style (subscript) and display style (underscript) automatically.
The template automatically converts ->
to {{sp|1}}→ {{sp|1}}
(HTML+CSS) or \to
(LaTeX).
Examples
The code
{{indent}}before {{math|{{lim|''x''->0{{^|'''+'''}}}} ''x''{{^|0}}|tex = \lim_{x \to 0^+} x^0|&}}. Then
yields the text style HTML+CSS
beforelim x → 0 + x 0 |
The code
{{indent}}before {{math|{{lim|''x''->0{{^|'''+'''}}}} ''x''{{^|0}}|tex = \lim_{x \to 0^+} x^0|$}}. Then
yields the text style LaTeX
before . Then
The code
{{indent}}{{math|{{lim|''x''->0{{^|'''+'''}}|HTM}} ''x''{{^|0}}|tex = \lim_{x \to 0^+} x^0|&&}}
yields the display style HTML+CSS
x 0 |
The code
{{indent}}{{math|{{lim|''x''->0{{^|'''+'''}}|HTM}} ''x''{{^|0}}|tex = \lim_{x \to 0^+} x^0|$$}}
yields the display style LaTeX
The code
{{indent}}before {{math|{{lim|''x''->infty}} ''x''|tex = \lim_{x \to \infty} x|&}}. Then
yields the text style HTML+CSS
beforelim x → ∞ x |
The code
{{indent}}before {{math|{{lim|''x''->infty}} ''x''|tex = \lim_{x \to \infty} x|$}}. Then
yields the text style LaTeX
before . Then
The code
{{indent}}{{math|{{lim|''x''->infty|HTM}} ''x''|tex = \lim_{x \to \infty} x|&&}}
yields the display style HTML+CSS
x |
The code
{{indent}}{{math|{{lim|''x''->infty|HTM}} ''x''|tex = \lim_{x \to \infty} x|$$}}
yields the display style LaTeX
The code
{{indent}}before {{math|{{lim|''n''->infty}} ''f'' {{sp|1}}(''n''), {{lim|''n''->infty|inf}} ''f'' {{sp|1}}(''n''), {{lim|''n''->infty|sup}} ''f'' {{sp|1}}(''n'')|&}}. Then
yields the text style HTML+CSS
beforelim n → ∞ f (n), lim inf n → ∞ f (n), lim sup n → ∞ f (n) |
The code
{{indent}}before {{math|{{lim|''n''->infty|tex}} ''f''(''n''), {{lim|''n''->infty|inf|tex}} ''f''(''n''), {{lim|''n''->infty|sup|tex}} ''f''(''n'')|$}}. Then
yields the text style LaTeX
before. Then
The code
{{indent}}{{math|{{lim|''n''->infty|HTM}} ''f'' {{sp|1}}(''n''),{{sp|quad}}{{lim|''n''->infty|inf|HTM}} ''f'' {{sp|1}}(''n''),{{sp|quad}}{{lim|''n''->infty|sup|HTM}} ''f'' {{sp|1}}(''n'').|&&}}
yields the text style HTML+CSS
f (n), f (n), f (n). |
The code
{{indent}}{{math|{{lim|''n''->infty|TEX}} ''f''(''n''),\quad {{lim|''n''->infty|inf|TEX}} ''f''(''n''),\quad {{lim|''n''->infty|sup|TEX}} ''f''(''n'').|$$}}
yields the text style LaTeX
The code
{{indent}}before {{math|{{lim|''n''->infty}} 1 {{op|+}} {{frac|1|''n''}} {{=}} 1|&}}. Then
yields the text style HTML+CSS
beforelim n → ∞ 1 +
|
The code
{{indent}}before {{math|{{lim|''n''->infty|tex}} 1 + {{frac|1|''n''|tex}} {{=}} 1|$}}. Then
yields the text style LaTeX
before. Then
The code
{{indent}}{{math|{{lim|''n''->infty|HTM}} 1 {{op|+}} {{frac|1|''n''}} {{=}} 1.|&&}}
yields the display style HTML+CSS
1 +
|
The code
{{indent}}{{math|{{lim|''n''->infty|TEX}} 1 {{op|+}} {{frac|1|''n''|tex}} {{=}} 1.|$$}}
yields the display style LaTeX