High School Math : Calculating Limits

Example Questions

Example Question #3 : Calculus I — Derivatives

Calculate  .

The limit does not exist.

Explanation:

Substitute  to rewrite this limit in terms of u instead of x. Multiply the top and bottom of the fraction by 2 in order to make this substitution:

(Note that as .)

, so

, which is therefore the correct answer choice.

Example Question #1 : Calculus I — Derivatives

Calculate

The limit does not exist.