# High School Math : Calculating Limits

## Example Questions

### Example Question #2081 : High School Math

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 #2082 : High School Math

Calculate

The limit does not exist.