Given f(x) - 2csc2(pi)x find the domain and lim x->(1/2) -f(x)

I know that it is going to come out something along the lines of Domain equals all real numbers except for (pi)/6 times an integer, but dont know the way to prove it out. The limit will be similar?

Thanks!

Sincerely,

the guy who loves math - once he understands it...