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4.7 Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms

Syllabus
2020
Topic
4.7
Level
—

Learning objectives

—LIM-4.A—Determine limits of functions that result in indeterminate forms• LIM-4.A Determine limits of functions that result in indeterminate forms.• LIM-4.A.1 When the ratio of two functions tends to 0/0 or ∞/∞ in the limit, such forms are said to be indeterminate.- Exclusion statement: There are many other indeterminate forms, such as ∞ − ∞, for example, but these will not be assessed on either the AP Calculus AB or BC Exam. However, teachers may include these topics, if time permits.• LIM-4.A.2 Limits of the indeterminate forms 0/0 or ∞/∞ may be evaluated using L’Hospital’s Rule.• Enduring understanding LIM-4: L’Hospital’s Rule allows us to determine the limits of some indeterminate forms.

LIM-4.A—Determine limits of functions that result in indeterminate forms

  • LIM-4.A Determine limits of functions that result in indeterminate forms.
  • LIM-4.A.1 When the ratio of two functions tends to 0/0 or ∞/∞ in the limit, such forms are said to be indeterminate.
    • Exclusion statement: There are many other indeterminate forms, such as ∞ − ∞, for example, but these will not be assessed on either the AP Calculus AB or BC Exam. However, teachers may include these topics, if time permits.
  • LIM-4.A.2 Limits of the indeterminate forms 0/0 or ∞/∞ may be evaluated using L’Hospital’s Rule.
  • Enduring understanding LIM-4: L’Hospital’s Rule allows us to determine the limits of some indeterminate forms.