Limit Laws

If and exist and is a constant, then:


  3. Next rules: "expansion"

  6. Next rules: exponents

Dividing by Highest Power

Divide by highest power (2) on top and bottom

Multiplication by Conjugate

We know , so

Euler's Limit

Definition

Squeeze Theorem (Certified JINTAO DENG: Very Important)

Theorem

Let be Sequences with for all

(See logical and and implications)

Squeeze Theorem.png

Example

So

Example

Since , and , then