Chapter 9 Section 9.2 L’Hôpital’s Rule

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Presentation transcript:

Chapter 9 Section 9.2 L’Hôpital’s Rule Sequences, L’Hopital’s Rule, and Improper Integrals Section 9.2 L’Hôpital’s Rule

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

What you’ll learn about L’Hôpital’s Rule and its stronger form for repeated iterations Indeterminate forms 0/0 and ∞/∞ Indeterminate forms ∞·0, and ∞-∞ Indeterminate forms 1∞, 00, ∞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.

Indeterminate Form 0/0

L’Hôpital’s Rule (First Form)

Example Indeterminate Form 0/0

L’Hôpital’s Rule (Stronger Form)

Example Using L’Hôpital’s Rule with One-Sided Limits

Example Working with Indeterminate Form ∞/∞

Example Working with Indeterminate Form ∞·0

Indeterminate Forms 1∞, 00,∞0

Example Working with Indeterminate Form 1∞

Example Working with Indeterminate Form 1∞

Example Working with Indeterminate Form 00

Example Working with Indeterminate Form ∞0

Quick Quiz for Sections 9.1 and 9.2

Quick Quiz for Sections 9.1 and 9.2

Quick Quiz for Sections 9.1 and 9.2

Quick Quiz for Sections 9.1 and 9.2

Quick Quiz for Sections 9.1 and 9.2

Quick Quiz for Sections 9.1 and 9.2