Lesson Worksheet: L’Hôpital’s Rule Mathematics • Higher Education

In this worksheet, we will practice applying L’Hôpital’s rule to evaluate the limits of the indeterminate forms 0/0 and ∞/∞.

Q1:

Find lim191𝑥+255.

  • A1019ln
  • Bln19
  • C1
  • D10

Q2:

Determine limln(𝑥1)𝑥2.

Q3:

Determine lim5𝑒5𝑒𝑥.

Q4:

Find lim8𝑒812𝑥+cos.

  • A83
  • B38
  • C38
  • D83

Q5:

Find lim7𝑒7𝑒+1.

  • A565
  • B565
  • C358
  • D358

Q6:

Determine limtan𝑒12𝑥tan.

Q7:

Find lim981749.

  • Alnln97
  • Blnln79
  • C819497lnln
  • D817499lnln

Q8:

Find lim(𝑥+4)𝑥3.

  • A16𝑥3
  • B16𝑥3
  • C4𝑥
  • D4𝑥
  • EThe limit does not exist.

Q9:

Determine lim17131.

  • Aln17
  • Blnln317
  • Cln3
  • Dlnln173

Q10:

Find lim(1+𝑥)1(1+5𝑥)1.

  • A15
  • B35
  • C325
  • D0

This lesson includes 25 additional questions and 285 additional question variations for subscribers.

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