First find points where the function g(x) is not defined.
In this case they are x=0 and x=Pi/8 + k*(Pi/4)
If the limit goes to infinity then there is vertical asymptote in the corresponding point.
Would like to know where to start on this type of problem, since it's not a regular polynomial that i'm finding the asymptotes for. I'd like to know the process and any helpful tips for this kind of problem. I realize the solution is something along the lines of +-pi +-n(pi) (based on a similar example) but i'd appreciate a dumbed down explanation if possible.
problem (for simplicity i'll make x = theta):
Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary nonzero integer if necessary)
g(x) = (tan 4x)/(3x)
thanks, looks like the second one is approaching infinity. also wondering though how you find the candidate (other than zero), since i'm not sure how to find out when tan4x/3x = 0 in terms of unit circle. do i use sin/cos?