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infinity

Real positive infinity

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

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

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