All GRE Subject Test: Math Resources
Example Question #1 : Evaluating Limits
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 .