Limits and Continuity | q004.html

(cod: P-48-36-7) Consider the function \[f(x) = \dfrac{\sin(x)}{x}.\] Select the correct alternative:

The only vertical asymptote of \(f\) is the line \(x = 0\), while \(f\) has no horizontal asymptotes.

The only vertical asymptote of \(f\) is the line \(x = 0\), and the only horizontal asymptote is the line \(y = 0\).

We have that \(f\) has no vertical asymptotes and has a single horizontal asymptote, which is the line \(y=0\).

We have that \(f\) has no vertical asymptotes and has a single horizontal asymptote, which is the line \(y=1\).

We have that \(f\) has neither horizontal nor vertical asymptotes.