(cod: P-48-36-7)
Consider the function \[f(x) = \dfrac{\sin(x)}{x}.\]
Select the correct alternative:
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Since
\[\lim\limits_{x \to - \infty} \dfrac{\sin(x)}{x} = 0 = \lim\limits_{x \to - \infty} \dfrac{\sin(x)}{x},\]
the line \(y = 0\) is the only horizontal asymptote of the function \(f\). Note that the graph of \(f\) intersects
the line \(y = 0\) infinitely many times. Indeed, we have that
\[f(k\pi) = 0, \text{ for all } k \in \mathbb{Z}.\]
