# Question #35d67

Apr 6, 2016

y = an odd multiple of $\frac{\pi}{2}$
The limit of tan y, as $x \to \frac{\pi}{2}$ is $\pm \infty$.
It is wrong to state that as $x \to \frac{\pi}{2}$, $y \to + \infty$.
The limit for approach $x \to \frac{\pi}{2}$ through higher values is $- \infty$..
As thr period of the function is $2 \pi$,
the asymptotes are $y = \frac{\pi}{2} + 2 k \pi . k = , 0 , \pm 1 , \pm 2 , \pm 3. \ldots$.