Sequence
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A sequence is an ordered list of terms. Sequences may be either finite or infinite.
Contents |
Definition
A sequence of real numbers is simply a function 
. For instance, the function 
defined on 
corresponds to the sequence 
.
Convergence
Intuitively, a sequence converges if its terms approach a particular number.
Formally, a sequence 
of reals converges to 
if and only if for all positive reals 
, there exists a positive integer 
such that for all integers 
, we have 
.
If converges to 
, is called the limit of and is written 
.
Resources
See Also
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