The **Squeeze Theorem** (also known as the Sandwich Theorem) states that if a function \( f(x) \) is "squeezed" between two other functions \( g(x) \) and \( h(x) \) near a point \( c \), and the limits of these two functions are equal as \( x \) approaches \( c \), then the limit of \( f(x) \) at \( c \) must also exist and equal that same value.

**Formally**:
\[
\text{If } g(x) \leq f(x) \leq h(x) \quad \text{for all } x \text{ near } c \quad \text{and} \quad \lim_{x \to c} g(x) = \lim_{x \to c} h(x) = L,
\]
\[
\text{then} \quad \lim_{x \to c} f(x) = L.
\]

Would you like a detailed explanation or a few solved problems? In the meantime, here are five practice questions related to the squeeze theorem.

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### 5 Practice Questions:
1. **Basic limit example**: Use the squeeze theorem to evaluate \( \lim_{x \to 0} x^2 \sin\left(\frac{1}{x}\right) \).
2. **Oscillating function**: Show that \( \lim_{x \to \infty} \frac{\sin x}{x} = 0 \) using the squeeze theorem.
3. **Absolute value bound**: Prove that \( \lim_{x \to 0} x^2 \cos\left(\frac{1}{x}\right) = 0 \).
4. **Trig limit**: Use the squeeze theorem to find \( \lim_{\theta \to 0} \theta \sin\left(\frac{1}{\theta}\right) \).
5. **Non-trig function**: Evaluate \( \lim_{x \to \infty} \frac{\cos x}{x^2} \) using the squeeze theorem.

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### Tip:
When using the Squeeze Theorem, look for **functions that oscillate** (e.g., \(\sin\), \(\cos\)), and then find simple upper and lower bounds around them.

Master the Squeeze Theorem with a detailed explanation and practice problems. Understand how to use the theorem to evaluate limits involving oscillating functions, and explore examples like lim_{x -> 0} x^2 sin(1/x) and more. Suitable for high school and college students.

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