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  3. AP Calculus AB - L'Hospital's Rule & Indeterminate Forms

ap calculus ab - l'hospital's rule & indeterminate forms

originally streamed in 2020 with Meghan DwyerTeacher
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Learn how to use L'Hospital's Rule to evaluate tricky limits in AP Calculus AB. This video covers indeterminate forms like 0/0 and ∞/∞, walks through multiple example problems, and helps you understand when this powerful technique applies on the AP e ...more

covered in this stream

units
Unit 4 – Contextual Applications of DifferentiationUnit 1 – Limits and Continuity
topics
4.7 Using L'Hopitals Rule for Determining Limits in Indeterminate Forms1.8 Determining Limits Using the Squeeze Theorem1.11 Defining Continuity at a Point

timestamps

  • 0:00

    Introduction and Welcome

  • 0:37

    Stream Overview and Recording

  • 1:07

    Starting L'Hospital's Rule Presentation

  • 1:38

    Upcoming AP Classes and Social Media

  • 2:09

    What is L'Hospital's Rule

  • 2:40

    Formal Definition and Conditions

  • 3:42

    Using Rule Multiple Times

  • 4:46

    How to Apply L'Hospital's Rule

  • 5:17

    Indeterminate Forms Overview

  • 7:54

    Not the Quotient Rule

  • 8:54

    When to Use L'Hospital's Rule

  • 9:57

    Alternatives Like Algebra

  • 10:59

    Example: Limit x to 2 (x-1)/(x^2-4)

  • 14:07

    Example: Limit x to Infinity 2/(x+1)

  • 15:11

    Example: Limit x to -1 (x+1)/(x^2-1)

  • 16:47

    Example with Trig and Exponential

  • 17:21

    Evaluating Exponential Limit

  • 25:59

    Infinity Example with Square Root

  • 27:01

    Showing Infinity Over Infinity

  • 36:26

    Free Response Question Introduction

  • 38:04

    Part A: Finding h Prime of 2

  • 39:38

    Part B: a Prime of x and Evaluation

  • 43:16

    Part C: Finding f of 2 and f Prime

  • 53:43

    Part D: Squeeze Theorem and Continuity

  • 1:09:46

    Continuity Review and Wrap Up

  • 1:12:20

    Closing Remarks and Goodbye

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Company

What's New?PricingBulk DiscountsTestimonialsFAQsEmail us

Resources

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history

🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history

social science

✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government

english & capstone

✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar

arts

🎨 ap art & design🖼️ ap art history🎵 ap music theory

science

🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics

math & computer science

🧮 ap calculus ab♾️ ap calculus bc📐 ap precalculus📊 ap statistics💻 ap computer science a⌨️ ap computer science p

world languages

🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams

✏️ PSAT🎓 Digital SAT🎒 ACT

honors classes

🍬 honors algebra II🫀 honors anatomy🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics📐 honors geometry⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history

college classes

👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science

hs classes

🏛️ alabama history⛰️ appalachian studies🌴 california history🌍 earth science🌐 ethnic studies🐊 florida history🍑 georgia history🌎 global studies🌺 hawaiian studies📰 journalism🪶 native american studies🌵 new mexico history🤠 oklahoma history⚗️ physical science🎙️ speech and debate🤝 texas government🤠 texas history🌲 washington state history🕊️ world religions
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© 2026 Fiveable Inc. All rights reserved.

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