rzepiowiffn

2023-03-01

How many vertical asymptotes can a function have?

angel52594672ve

$f\left(x\right)=\mathrm{cot}\left(\frac{\pi }{x}\right)$ has vertical asymptotes at each form's n-th number. $x=\frac{1}{n}$ for integer $n$ (and also at $x=0$)