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Algebra of Limits

Evaluate: li...

Question

Evaluate:
$lim x \to \infty \frac{2 + {cos}^{2} x}{x + 2007}$ .

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Solution

$\begin{matrix} {lim}_{x \to \infty} \frac{- 2 cos x . sin x}{1} = sin 2 x {lim}_{x \to \infty} - sin 2 x = - \infty \end{matrix}$

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