What is the maximum number of asymptote that can be of given function (that can be any function)?

[shahar]

What is the maximum number of asymptote that can be of given function (that can be any function)?
Can it be infinity number?

 

[blamocur]

Look at [imath]f(x) = \tan(x)[/imath]

 

[khansaheb]

Can it be infinity number?

Or reciprocal of any periodic function with multiple roots.