## Definition 3.1.2: Convergence

A sequence of real (or
complex) numbers is said to

**converge**to a real (or complex) number*c*if for every*> 0*there is an integer*N > 0*such that if*j > N*then*| a*. The number_{j}- c | <*c*is called the limit of the sequence and we sometimes write*a*._{j}c
If a sequence does not
converge, then we say that it **diverges**.