BUILT-IN MATHEMATICA SYMBOL

Infinity

is a symbol that represents a positive infinite quantity.

Use as iterator limit:

Do arithmetic with infinite quantities:

Use as iterator limit:

Out[1]=

Do arithmetic with infinite quantities:

Out[1]=

Use Esc inf Esc to enter

:

Series expansion at

:

Infinite limits of integration and summation:

Extended arithmetic with infinite quantities:

In this case the result depends on the growth rates of the two terms:

Use infinite quantities in predicates:

Find values of mathematical functions at infinities:

For some functions there is no definite limit, but a limiting interval:

In this case no limiting interval exists:

Mathematical functions can also return infinite quantities at finite points:

Cases finds matches only at the first level by default:

Set the level to Infinity to include all levels:

Stirling's asymptotic approximation:

Setting the precision to Infinity will produce a rational approximation:

Some functions require infinite precision or exact input:

Apply SetPrecision to the whole expression to rationalize all inexact numbers:

Use an infinite WorkingPrecision in Plot: