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Lesson: Applying L’Hôpital's Rule for Limits with 0/0 Output

L'Hopital's rule is used to evaluate indeterminate forms of limits such as 0/0, +− ∞/∞, 0*∞, ∞-∞ and so on. The limits of those forms equal the limits of their derivatives. In this lesson, we will be dealing with limits that tend to 0/0.

Worksheet: Applying L’Hôpital's Rule for Limits with 0/0 Output • 26 Questions

Q1:

Find .

AThe limit doesn’t exist.
B
C
D
E

Q2:

Find .

AThe limit doesn’t exist.
B
C
D

Q3:

Find .

AThe limit doesn’t exist.
B
C
D

Q4:

Find .

AThe limit doesn’t exist.
B
C
D

Q5:

Determine .

Q6:

Determine .

Q7:

Determine .

Q8:

Find .

Ahas no limit
B
C
D1

Q9:

Determine .

Q10:

Find .

Q11:

Find .

Q12:

Find .

Q13:

Determine .

Q14:

Determine .

Q15:

Suppose What can be said of the continuity of at ?

AThe function is discontinuous at because .
BThe function is discontinuous at because is undefined.
CThe function is continuous at .
DThe function is discontinuous at because does not exist.
EThe function is continuous on .

Q16:

Find .

Q17:

Determine .

Q18:

Determine .

Q19:

Find .

Q20:

Determine .

Q21:

Determine .

Q22:

Determine .

Q23:

Determine .

Q24:

Find .

Q25:

Find .

AThe limit does not exist.
B
C
D
E

Q26:

Find , where

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