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Friday, September 9, 2016 at 11:12

# LibreOffice Math: Writing Various Limit Formulas

This tutorial tells about LibreOffice Math in writing various mathematical limit equations. We explain them in 15 examples, including source code for each equation, and in the end you can download the .odf file containing all these limit equations. This tutorial is a continuation of the previous LibreOffice Math introduction.

## Total Result

This is how it looks in LibreOffice Math program. You can download the .odf (OpenDocument Formula) file in the end of this tutorial. This .odf file contains all limit formulas mentioned in this tutorial.

## Elements Toolbox

Where is limit templates in the Elements toolbox? It is in the Operators category.

The source code templates available for limit are:

• lim {}
• lim from{} {}
• lim to{} {}
• lim from{} to{} {}

### Example 1

Source code:

lim from{ x->1^-"" } { {x^{2}-1} over {x-1} } = 2

### Example 2

Source code:

lim from{ x->c } f( x ) = L

### Example 3

Source code:

lim from{ x->3 } { {x^{2}-x-6 } over {x-3} } = lim from{ x->3 } { {(x-3)(x+2)} over {(x-3)} }

### Example 4

Source code:

lim from{ x->9 } { {x-9} over {{sqrt{x}}-3} } = lim from{ x->9 } { {x-9} over {sqrt{x}-3} times {{sqrt{x}+3 } over {sqrt{x}+3 }} }

### Example 5

Source code:

lim from{ x->0 } { sqrt{x^{2} - 2x + 3} }

### Example 6

Source code:

lim from{ x->2 } { left ( {{{6-x} over {x^{2} -4}} - {{1} over {x-2}} } right ) }

### Example 7

Source code:

sqrt{ {{lim from{x->5} x^{2}} + {lim from{x->5}11}} } over {lim from{x->5} x}

### Example 8

Source code:

lim from{ x->infinity } { 1 over x } = 0

### Example 9

Source code:

lim from{ x->infinity } { {nroot{3}{x^{2}} - 2 {nroot{3}{x}} +1 } over {(x-1)^{2}} }

### Example 10

Source code:

A = lim csub{ <- csub{i in I} } A_{ i } = left lbrace {vec {a} in prod from{i in I} A_{i} divides a_{i} = f_{ij} (a_{j}) "for all" i <= j "in" I  } right rbrace .

### Example 11

Source code:

lim from{ n->infinity } { (a_{n} +- b_{n}) } = {lim from{ n->infinity } a_{n} } +- {lim from{ n->infinity } b_{ n }}

### Example 12

Source code:

lim from{ n->infinity } { a^{p}_{n} } = left [ lim from{n->infinity} a_{n} right ]^p

### Example 13

Source code:

lim from{ z->0 } {{ sin x } over {x}} = 1 newline newline newline

lim from{ x->0 } { {1-cos x} over {x} } = 0 newline newline newline

lim from{ z->infinity } { x sin (1 over x) } = 1 newline newline newline

### Example 14

Source code:

lim from{ x->infinity } { int from{a} to{x} f(t) dt } newline newline newline

### Example 15

Source code:

lim from{ n->infinity } { sum from{i=8} to{n} f(s) } newline newline newline

## Insert Formulas into Writer

To insert equations into LibreOffice Writer, you deal with the source codes. You will type the source code one by one per equation. And by selecting a source code > press Formula button, you change the source code into a beautiful formula automatically. Do this for all source codes left. See this picture.