GRE Subject Test: Math : Evaluating Limits

Study concepts, example questions & explanations for GRE Subject Test: Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Evaluating Limits


Possible Answers:

Undefined/No Limit

Correct 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 .

Learning Tools by Varsity Tutors