Bounded and Monotone Sequences

We define bounded and monotone sequences, state and prove the monotone convergence theorem, and state the Bolzano–Weierstrass Theorem.

0:00, Intro
0:30, Definition of a Bounded Sequence
1:55, Theorem(Convergent Sequences are Bounded)
4:55, Non-Example of converse of theorem
6:17, Definition of a Monotone Sequence
7:10, Example of a Decreasing Monotonic Sequence
7:37, Example of a Strictly Increasing Monotonic Sequence
7:55, Example of an Increasing Monotonic Sequence
9:10, Example of a Non-Monotonic Sequence
9:40, Monotone Convergence Theorem
11:30, Monotone Convergence Theorem Proof
24:10, Bolzano-Weierstrass Theorem
25:22, Example of Bolzano-Weierstrass Theorem