identify the asymptotes of j(x) = tan(π/4x)

Question

identify the asymptotes of j(x) = tan(π/4x) (enter your answers as a comma-separated list of equations.)

Answer 1

Set cos((π/4)x) = 0

 

Set the argument equal to angles that make cosine zero.

 

(π/4)x = π/2           ,    (π/4)x = 3π/2         , (π/4)x = (5π/2)

 

x = 2                     ,       x = 3/2               ,    x = 5/2