Evaluating Limits - GRE Subject Test: Math

Card 0 of 1

Question

Evaluate:

Answer

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 .

Compare your answer with the correct one above

Tap the card to reveal the answer