# GRE Subject Test: Math : Evaluating Limits

## Example Questions

### Example Question #1 : Evaluating Limits

Evaluate:

Undefined/No Limit

Explanation:

Step 1: See if we can plug in  into the equation..

We can't because the denominator becomes ..

Step 2: Factor the denominator:

(By the Difference of Perfect Squares Formula)

Step 3: Re-write the function:

Step 4: Divide by  on both the numerator and denominator because it's common:

We are left with:

Step 5: Plug in :

The limit of this function as x approaches 2 is .