Calculus 2 : L'Hospital's Rule

Study concepts, example questions & explanations for Calculus 2

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Example Questions

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Example Question #81 : L'hospital's Rule

Use L'Hospital's rule to find  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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:   

Possible Answers:

There is no such limit

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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  .

Possible Answers:

Correct answer:

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

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