This video starts off very simply by defining a sequence and showing some very basic sequences. The brace form of the sequences is shown for several examples. The nth term is shown for some examples, as well as sequencesâ graphs and their limits. The Squeeze Theorem and tests for convergence are also discussed. Several examples of divergent sequences are shown. The whole list of properties of limits of sequences is shown and explained. Some very famous / important limits are shown and some are proven. Big O or big oh notation is also explained, and the order of growth rates is shown. O (ln n) < O (n^1/q) < O (n^p) < O (x^n) < O (n!) < O (n^n).