The Squeeze Theorem
Statement of the squeeze theorem
Visual intuition
Classic example: prove $\lim_{x \to 0} x^2 \sin\left(\dfrac{1}{x}\right) = 0$
Step-by-step procedure
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Another example: $\lim_{x \to 0} x \cos\left(\dfrac{1}{x}\right)$
Proving the fundamental trig limit
When to use the squeeze theorem
Common mistakes
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AP exam tips
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Vocabulary
Unit 1 topics
Unit 1 overview11.1 Introducing Calculus: Can Change Occur at an Instant?21.2 Defining Limits and Using Limit Notation31.3 Estimating Limit Values from Graphs41.4 Estimating Limit Values from Tables51.5 Determining Limits Using Algebraic Properties61.6 Determining Limits Using Algebraic Manipulation71.7 Selecting Procedures for Determining Limits81.8 Determining Limits Using the Squeeze Theorem91.9 Connecting Multiple Representations of Limits and Continuity101.10 Types of Discontinuities, Infinite Limits, and the IVT