L'Hospital's Rule

Indeterminate Forms

• 18.01 Single Variable Calculus, Fall 2005
  Prof. Jason Starr

Course Material Related to This Topic:

• Read lecture notes, section 1 on pages 1–2

L'Hopital's Rule

• 18.01 Single Variable Calculus, Fall 2005
  Prof. Jason Starr

Course Material Related to This Topic:

Method for finding limits that have indeterminate form 0/0. Includes examples.

• Read lecture notes, section 3 on page 3

Evaluating two limits using L'Hopital's Rule.

• Complete exam problem 3 on page 1
• Check solution to exam problem 3 on pages 1–2

Five questions which involve evaluating limits using L'Hopital's Rule.

• Complete exam problem 7.1 on page 5 to problem 7.5 on page 6
• Check solution to exam problem 7.1 on page 5 to problem 7.5 on page 6

L'Hopital' Rule for Other Indeterminate Forms

Explanation that L'Hopital's rule can be used to find limits that lead to other indeterminate forms as well. Includes examples and proof that L'Hopital's rule applies to limits with indeterminate form infinity/infinity.

• 18.01 Single Variable Calculus, Fall 2005
  Prof. Jason Starr

Course Material Related to This Topic:

• Read lecture notes, section 4 on pages 3–4

Evaluating Limits

Three limits involving trigonometric, logarithmic, and exponential functions.

• 18.01 Single Variable Calculus, Fall 2006
  Prof. David Jerison

Course Material Related to This Topic:

• Complete exam problem 15 on page 2
• Check solution to exam problem 15 on page 1

Indeterminate Forms and L'Hopital's Rule

Six questions which involve evaluating limits and using L'Hopital's Rule.

• 18.01 Single Variable Calculus, Fall 2006
  Prof. David Jerison

Course Material Related to This Topic:

• Complete exam problems 6A–1 on page 39 to problems 6A–6 on page 40
• Check solution to exam problems on pages 87–90