Definition:
Convergence of a Sequence
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
| aj - c | <
.
The number c is called the limit of the sequence
and we sometimes write
aj
c.
If a sequence
does not
converge, then we say that it diverges.
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