The function $f(x) = \cot x$ is discontinuous at every point in the set
$\left\{x = \left(2n + 1\right) \frac{\pi}{2} \; | \; n \in \mathbb{Z}\right\}$
$\left\{ x = \frac{n \pi}{2} \; | \; n \in \mathbb{Z} \right\}$
$\{ x = n \pi \; | \; n \in \mathbb{Z} \}$
$\{ x = 2n \pi \; | \; n \in \mathbb{Z} \}$
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