Question

Question #35d67

Answer 1

y = an odd multiple of `pi/2`

Explanation:

Inversely, x = tan y.
The limit of tan y, as `x to pi/2` is `+-oo`.
It is wrong to state that as `x to pi/2`, `yto+oo`.
The limit for approach `xto pi/2` through higher values is `-oo`..
As thr period of the function is `2pi`,
the asymptotes are `y = pi/2+2kpi. k=, 0, +-1, +-2, +-3. ...`.