### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Defining Derivatives With Limits

Evaluate:

**Possible Answers:**

Does Not Exist

**Correct answer:**

Explanation:

Step 1: Try plugging in into the denominator of the function. We want to make sure that the bottom does not become ...

.. We got zero, and we cannot have zero in the denominator. So, we must try and factor the function (numerator and denominator):

Step 2: Factor:

Step 3: Reduce:

Step 4: Now that we got rid of the factor that made the denominator zero, we know that this function has a limit.

Step 5: Plug in into the reduced factor form:

Simplify as much as possible...

The limit of this function as x approaches is

### All GRE Subject Test: Math Resources

Popular Subjects

GRE Tutors in Denver, Math Tutors in San Diego, MCAT Tutors in Atlanta, Math Tutors in Washington DC, GRE Tutors in Washington DC, Reading Tutors in Washington DC, Biology Tutors in Los Angeles, MCAT Tutors in Boston, ACT Tutors in San Francisco-Bay Area, English Tutors in Phoenix
Popular Courses & Classes

MCAT Courses & Classes in Miami, LSAT Courses & Classes in Miami, SSAT Courses & Classes in Denver, SAT Courses & Classes in Denver, LSAT Courses & Classes in Phoenix, LSAT Courses & Classes in Chicago, SAT Courses & Classes in Washington DC, GRE Courses & Classes in Miami, LSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Washington DC