Question

is there an asymptote for cot(X)/X?

Answer 1

\[\frac{ \cot(x) }{ x }\]

Answer 2

vertical*

Answer 3

Vertical asymptotes come from the denominator being equal to 0... if you write cot as cos/sin...
\[\Large \frac{ \cot(x) }{ x } = \frac{ \cos x }{ x \sin x }\]

sinx is zero every pi/2 radians.