Squeeze Theorem for Sequences https://youtu.be/fmTDMMUL31Q

In this video I rewrite the general squeeze theorem into its equivalent form for sequences. Essentially, if a sequence is always between two other sequences after a given set of terms, and those two sequences have the same limit, then our given sequence also has that same limit, and is said it gets "squeezed" between the two sequences.

Limit Laws for Sequences https://youtu.be/vgAitTQU2Fc

In this video I list the main limit laws for sequences, and which are just the general limit laws since they hold for convergent sequences as well. 

Infinite Limits of Sequences at Infinity https://youtu.be/a4M4w3PhCd8

In this video I go over the notation and precise definition for sequences that diverge to infinity when the number of terms go to infinity.

The Precise Definition of a Limit of a Sequence https://youtu.be/baF4w9MeCiM

In this video I go over a more precise definition of the limit of a sequence by using the same approach as for the limit of a function. If the limit of a sequence exists, then there must be a positive number ε such that it has a corresponding number N where if the sequence term n is greater than N, then the absolute value of the difference between the n-th term of the sequence and the limit L is less than ε.

The Limit of a Sequence https://youtu.be/NANqzQ_ZirM

In this video I go over the limit of a sequence, its notation, as well as plotting it on a number line and graphing it out.

Sequences: Definition, Notation, Fibonacci, and Examples https://youtu.be/jlDvjip0hLk

In this video I go over sequences, which are just ordered lists of numbers, the notation used to describe them, and several examples to illustrate how to obtain the general formula of the terms of a sequence. I also discuss briefly discuss the famous Fibonacci sequence, which is defined recursively by adding up the previous two terms.