Calculus Examples

$lim_{x \to 0} - x^{3} \cos (\frac{2}{x})$

Step 1

Since $- x^{3} \cdot - 1 \leq - x^{3} \cos (\frac{2}{x}) \leq - x^{3} \cdot 1$ and $lim_{x \to 0} - x^{3} \cdot - 1 = lim_{x \to 0} - x^{3} \cdot 1 = 0$ , apply the squeeze theorem.

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