Worksheet: Indeterminate Forms and L'Hôpital's Rule

In this worksheet, we will practice applying L’Hôpital's rule to evaluate the limits of the indeterminate forms 0.∞, 0^∞, 1^∞, 0^0, and ∞ - ∞.

Q1:

Use l’Hôpital's rule to determine the limit of 𝑛 as 𝑛 .

Q2:

Given that l i m 𝑥 = and l i m 𝑒 = 0 , by writing 𝑥 𝑒 as 𝑥 𝑒 , use l’Hôpital's rule to determine l i m 𝑥 𝑒 .

Q3:

Use l’Hôpital's rule to determine

Q4:

Use l’Hôpital's rule to determine l i m s i n 1 𝑥 1 𝑥 .

Q5:

Find l i m l n 𝑥 0 + 5 𝑥 8 3 𝑥 .

  • A0
  • B
  • C 8 3
  • D

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