Calculus Examples

$lim_{x \to 0} x^{2} \sin (\frac{1}{x})$

Step 1

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

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