Question about the calculus

Question

Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)

f(x) = 3 tan(πx)

Answer 1

f(x) = 3tan(πx) = 3sin(πx)/cos(πx0; we have vertical asymptote if cos(πx) = 0, so πx = π/2 + πn or x = 1/2 + n,

where n = 0, ±1,±2,...