## Sketching Rational Functions - summary.doc - Section 5: Closure + Homework

*Sketching Rational Functions - summary.doc*

Limits and l'Hospital

# Limits and l'Hospital

Unit 9: Full Course Review via Motion

Lesson 1 of 17

Lesson 1 of 17

## Objective: SWBAT evaluate one- and two-sided limits algebraically and graphically; SWBAT evaluate limits of indeterminate form using L’Hospital’s rule.

## Big Idea: Today it’s back to square one as we revisit limits and add the very useful l’Hospital’s Rule to students’ algebraic repertoires.

Subject(s):

Math, Precalculus and Calculus, AP Calculus AB, limits algebraically, indeterminate limits, l'Hospital's Rule, limits graphically, geogebra

*60 minutes*

6

This webpage gives some informal justifications for why l'Hospital's Rule works:

http://math.stackexchange.com/questions/98082/why-does-lhospitals-rule-work

Matheatre song titled L'Hopital, played for today's closure:

http://matheatre.com/lyrics/ctm.php

College Board Store, where you can purchase released multiple choice questions from prior AP exams:

*expand content*

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

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- LESSON 1: Limits and l'Hospital
- LESSON 2: Know Your Limits
- LESSON 3: Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives
- LESSON 4: Derivatives Algebraically and Graphically
- LESSON 5: The Calculus of Motion
- LESSON 6: Motion - Velocity on Intervals
- LESSON 7: Motion - Distance vs Displacement
- LESSON 8: Motion - With Multiple Derivatives
- LESSON 9: Motion and Optimization
- LESSON 10: Calculus and My Car's Dashboard
- LESSON 11: Rockin' Related Rates
- LESSON 12: Meet My Friend Riemann
- LESSON 13: Cookies and Pi
- LESSON 14: Accumulate This!
- LESSON 15: Wait, the Interval Width Varies?
- LESSON 16: Integrating Areas to Get Volumes
- LESSON 17: More Areas and Volumes

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