Evaluating Limits - GRE Quantitative Reasoning
Card 0 of 4
Evaluate: 
Evaluate:
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 
.
Step 1: See if we can plug in
We can't because the denominator becomes
Step 2: Factor the denominator:
Step 3: Re-write the function:
Step 4: Divide by
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
Evaluate:
Evaluate:
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 .
Step 1: See if we can plug in
We can't because the denominator becomes
Step 2: Factor the denominator:
Step 3: Re-write the function:
Step 4: Divide by
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
Evaluate:
Evaluate:
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 .
Step 1: See if we can plug in
We can't because the denominator becomes
Step 2: Factor the denominator:
Step 3: Re-write the function:
Step 4: Divide by
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
Evaluate:
Evaluate:
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 .
Step 1: See if we can plug in
We can't because the denominator becomes
Step 2: Factor the denominator:
Step 3: Re-write the function:
Step 4: Divide by
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