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Algebra of Limits

Evaluate: li...

Question

Evaluate:
$lim x \to \infty \frac{2 + sin x}{x^{2} + 3}$ .

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Solution

By using D.L. hospital rule
$\begin{matrix} {lim}_{x \to \infty} \frac{cos x}{2 x} = \frac{\infty}{\infty} {lim}_{x \to \infty} \frac{- sin x}{2} = - \infty \end{matrix}$

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