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  3. ZuAI AP College Board Calculus AB/BC
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Using L'Hopitals Rule for Determining Limits in Indeterminate Forms

Benjamin Wright

Benjamin Wright

7 min read

Study Guide Overview

This study guide covers L'Hôpital's Rule for evaluating indeterminate forms of limits (0/0 or ±∞/∞). It explains the rule, provides a step-by-step example, and offers practice problems with solutions. The guide emphasizes verifying conditions for applying the rule, especially for FRQs. Key takeaways for the exam include recognizing indeterminate forms, applying derivative rules correctly, and showing all necessary steps. Common mistakes and time management tips are also addressed.

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Question 1 of 8

Which of the following limits results in an indeterminate form that L'Hôpital's Rule can be applied to? 🤔

lim⁡x→2x+1x−1\lim_{x \to 2} \frac{x+1}{x-1}limx→2​x−1x+1​

lim⁡x→0sin⁡(x)x2+1\lim_{x \to 0} \frac{\sin(x)}{x^2 + 1}limx→0​x2+1sin(x)​

lim⁡x→0sin⁡(x)x\lim_{x \to 0} \frac{\sin(x)}{x}limx→0​xsin(x)​

lim⁡x→1x2x\lim_{x \to 1} \frac{x^2}{x}limx→1​xx2​