Limit of a sequence

In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to".

Description

If such a limit exists, the sequence is called convergent.

A sequence which does not converge is said to be divergent.

The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests.

Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers.

See also

• Limit of a function
• Limit of a net - see Net (mathematics), a topological generalization of a sequence.
• Mathematical analysis
• Modes of convergence
• Shift rule

External links

• Limit of a sequence @ Wikipedia.org