Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.2 L’Hôpital’s Rule
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 2 Quick Review
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 3 Quick Review
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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 5 Quick Review Solutions
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 6 What you’ll learn about Indeterminate Form 0/0 Indeterminate Forms ∞/∞, ∞·0, ∞-∞ Indeterminate Form 1 ∞, 0 0, ∞ 0 …and why Limits can be used to describe the behavior of functions and l’Hôpital’s Rule is an important technique for finding limits.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 7 Indeterminate Form 0/0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 8 L’Hôpital’s Rule (First Form)
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 8- 9 Example Indeterminate Form 0/0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide L’Hôpital’s Rule (Stronger Form)
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Using L’Hôpital’s Rule with One-Sided Limits
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form ∞/∞
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form ∞·0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Indeterminate Forms 1 ∞, 0 0,∞ 0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form 1 ∞
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form 1 ∞
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form 0 0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Working with Indeterminate Form ∞ 0
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections 8.1 and 8.2