Sequence
A sequence is an ordered list of terms. Sequences may be either finite or infinite.
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[hide]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 . The statement that converges to can be written as .
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