- A sequence is an infinite list
- numbers, vectors, or matrices
Definition 0.4.7 (Convergent sequence). A sequence
of real numbers is said to converge to the limit if for all , there exists such that for , we have .
- This is saying that for any small distance
, we can find that starting at some point in the sequence ( ) that the difference between the limit and the sequence term will be smaller than the distance - Many important sequences appear as partial sums of Series