Find the x-values at which f is not continuous. Are these discontinuities removable? (Use k as an arbitrary integer. If an answer does not exist, enter DNE.)

I suggest you graph the function \tan \theta and see what happens particularly around multiples of \pm \frac {\pi} 2 . Post back with what you find.

It is not continuous at them points

It is not continuous at them points

Right. So back to the original question - for what specific values of x is \ tan(\frac{ \pi x}2 ) not continuous?

Therefore x is discontinuous at + and - pi/2 , which would make that non-removable?