infinity

Real positive infinity

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Syntax

infinity

Description

infinity represents the infinite point on the positive real semi-axis.

infinity is an element of the domain stdlib::Infinity. It may be used in arithmetical operations. Some system functions accept infinity as a parameter or return it as a result.

Examples

Example 1

infinity can be used in arithmetical operations with real numbers:

7*infinity + 3, -3.0*infinity, 1/infinity,
infinity*infinity, infinity^2, sqrt(infinity)

Arithmetic with complex numbers or symbolic objects yields symbolic expressions:

I*infinity + b

The arithmetic responds to properties:

assume(a > 0): a*infinity

assume(a < 0): a*infinity

unassume(a): a*infinity

Cancellation of infinities yields undefined:

infinity - infinity, infinity/infinity

Some system functions accept infinity as a parameter or return it as result:

exp(infinity), sum(1/n, n = 1..infinity),
int(exp(-x^2), x = -infinity..infinity),
limit(x, x = infinity)

See Also

MuPAD Functions