Calculus Examples

$lim_{x \to \infty} \frac{\sin^{2} (x)}{x^{2}}$

Step 1

Since $\frac{0}{x^{2}} \leq \frac{\sin^{2} (x)}{x^{2}} \leq \frac{1}{x^{2}}$ and $lim_{x \to \infty} \frac{0}{x^{2}} = lim_{x \to \infty} \frac{1}{x^{2}} = 0$ , apply the squeeze theorem.

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