Calculus Examples

$lim_{x \to \infty} \frac{\cos (x^{5})}{\sqrt{x}}$

Step 1

Since $\frac{- 1}{\sqrt{x}} \leq \frac{\cos (x^{5})}{\sqrt{x}} \leq \frac{1}{\sqrt{x}}$ and $lim_{x \to \infty} \frac{- 1}{\sqrt{x}} = lim_{x \to \infty} \frac{1}{\sqrt{x}} = 0$ , apply the squeeze theorem.

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