# Calculus 2 : L'Hospital's Rule

## Example Questions

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### Example Question #81 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #82 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #83 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #84 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #85 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #86 : L'hospital's Rule

Find the following limit:

There is no such limit

Explanation:

This problem is solved by utilizing the L'Hospital's rule:

### Example Question #87 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #88 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #89 : L'hospital's Rule

Use L'Hospital's rule to find  .

Explanation:

L'Hospital's rule state that if , or  , then

To solve this problem, we must first see if L'Hospital's rule applies, by substitution.

Since, we can use L'Hospital's rule.  Take the derivative of the top and bottom of the fraction, gives us

### Example Question #90 : L'hospital's Rule

Use L'Hospital's rule to find  .