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Lecture Notes
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Section 1, Page 1
Definition, with explanation that limits leading to indeterminate forms sometimes have values that can be found using calculus. Example of finding the value of a limit that leads to the indeterminate form infinity - infinity.
Prof. Jason Starr
Limits (section 2 of lecture 2)
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Section 3, Page 3
Method for finding limits that have indeterminate form 0/0. Includes examples.
Prof. Jason Starr
Indeterminate Forms (section 1 of this lecture)
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Section 4, Page 3 to page 4
Explanation that L'Hospital's rule can be used to find limits that lead to other indeterminate forms as well. Includes examples and proof that L'Hospital's rule applies to limits with indeterminate form infinity/infinity.
Prof. Jason Starr
Indeterminate Forms and L'Hospital's Rule (sections 1 and 3 of this lecture)
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Exam Questions
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Problem 3 (page 1)
Evaluating two limits using L'Hospital's Rule.
Prof. Jason Starr
None
Solution (PDF) Pages 1 to 2
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Problem 7.1 (page 5) to problem 7.5 (page 6)
Five questions which involve evaluating limits using L'Hospital's Rule.
Prof. Jason Starr
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Problem 15 (page 2)
Three limits involving trigonometric, logarithmic, and exponential functions.
Prof. David Jerison
None
Solution (PDF)# Page 1
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PDF - 2.2 MB
Problem 6A-1 (page 39) to problem 6A-6 (page 40)
Six questions which involve evaluating limits and using L'Hospital's Rule.
Prof. David Jerison
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