Question

What are the horizontal asymptotes of \[y=\cot^{-1}x\]?

Options

• \[y=-\pi\] and \[y=\pi\]

• \[y=0\] and \[y=\pi\]

• \[y=-\frac{\pi}{2}\] and \[y=\frac{\pi}{2}\]

• \[y=0\] and \[y=\frac{\pi}{2}\]

Answer 1

The range / principal value of \[y=\cot^{-1}x\] is \[(0,\pi)\]. Thus the graph approaches \[y=0\] and \[y=\pi\] as horizontal asymptotes.