Difference between revisions of "Sequence"
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== Resources == | == Resources == | ||
− | * [http://www.research.att.com/~njas/sequences/ Online Encyclopedia of Integer Sequences] | + | * [http://www.research.att.com/~njas/sequences/ Online Encyclopedia of Integer Sequences] |
== See Also == | == See Also == |
Revision as of 12:56, 18 May 2008
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
Let be 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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