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  3. ZuAI AP College Board Calculus AB/BC
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Determining Limits Using the Squeeze Theorem

Hannah Hill

Hannah Hill

8 min read

Next Topic - Connecting Multiple Representations of Limits
Study Guide Overview

This guide covers the Squeeze Theorem for finding limits in AP Calculus AB/BC. It explains the theorem, including its formal definition and graphical representation. The guide also reviews prerequisite knowledge like limits and basic function behavior. Several practice problems demonstrate applying the Squeeze Theorem, and the guide offers tips for exam preparation, including common question types and time management strategies.

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Previous Topic - Selecting Procedures for Determining LimitsNext Topic - Connecting Multiple Representations of Limits

Question 1 of 4

If f(x)≤g(x)≤h(x)f(x) \leq g(x) \leq h(x)f(x)≤g(x)≤h(x) for all xxx near aaa, and lim⁡x→af(x)=L\lim_{x \to a} f(x) = Llimx→a​f(x)=L and lim⁡x→ah(x)=L\lim_{x \to a} h(x) = Llimx→a​h(x)=L, then what is lim⁡x→ag(x)\lim_{x \to a} g(x)limx→a​g(x)? 🤔

0

L

2L

Does not exist