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

In this lesson, we will learn how to evaluate limits that tend to 0/0 using L'Hopital's rule.

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

Q1:

Find .

  • A
  • B
  • CThe limit doesn’t exist.
  • D

Q2:

Find .

  • A
  • B10
  • C1
  • D

Q3:

Find .

  • A
  • BThe limit doesn’t exist.
  • C
  • D
  • E

Q4:

Find .

  • A
  • B
  • CThe limit doesn’t exist.
  • D

Q5:

Find .

  • A
  • B
  • CThe limit doesn’t exist.
  • D

Q6:

Determine .

  • A
  • B4
  • C
  • D
  • E

Q7:

Determine .

  • A
  • B
  • C
  • D
  • E

Q8:

Determine .

  • A
  • B
  • C
  • D

Q9:

Find .

  • A28
  • B4
  • C
  • D

Q10:

Determine .

Q11:

Determine .

  • A
  • B
  • C
  • D

Q12:

Determine .

  • A
  • B
  • C
  • D

Q13:

Determine .

  • A
  • B
  • C
  • D

Q14:

Determine .

  • A
  • B
  • C0
  • D

Q15:

Determine .

Q16:

Determine .

Q17:

Find .

  • A
  • B
  • C
  • D

Q18:

Find .

  • A
  • B
  • C
  • D

Q19:

Determine .

Q20:

Find .

  • A
  • B
  • C
  • D

Q21:

Find .

  • A
  • BThe limit does not exist.
  • C
  • D
  • E

Q22:

Determine .

  • A
  • B
  • C
  • D

Q23:

Find .

  • A
  • B
  • C
  • D0

Q24:

Find .

  • A
  • B1
  • Chas no limit
  • D

Q25:

Suppose What can be said of the continuity of at ?

  • A The function is continuous at .
  • B The function is discontinuous at because .
  • C The function is continuous on .
  • D The function is discontinuous at because is undefined.
  • E The function is discontinuous at because does not exist.

Q26:

Find , where

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