On SageCell:

https://sagecell.sagemath.org/?z=eJxL06jQVLBVSM4v0SjI1KrQ5ErTMNbUUQCS-kZQ2kQTALhiCOM=&lang=sage&interacts=eJyLjgUAARUAuQ==

Input:
f(x) = cot(pi*x)
f(3), f(3/2), f(3/4)

Output:
(Infinity, 0, -1)

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