Calculus Examples

$lim_{x \to \infty} \frac{(2 + \cos^{2} (x))}{(x + 2007)}$

Step 1

Since $\frac{2}{x + 2007} \leq \frac{(2 + \cos^{2} (x))}{(x + 2007)} \leq \frac{3}{x + 2007}$ and $lim_{x \to \infty} \frac{2}{x + 2007} = lim_{x \to \infty} \frac{3}{x + 2007} = 0$ , apply the squeeze theorem.

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