For what values of x, if any, does #f(x) = tan((7pi)/12-x) # have vertical asymptotes? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Roy E. Dec 11, 2016 #f(x)# has vertical asymptotes wherever #((7 pi)/12-x)# hits the jackpot values of #pi/2+n pi# (where #n=-oo ... +oo#) Answer link Related questions How do you show that a function has a vertical asymptote? What kind of functions have vertical asymptotes? How do you find a vertical asymptote for y = sec(x)? How do you find a vertical asymptote for y = cot(x)? How do you find a vertical asymptote for y = csc(x)? How do you find a vertical asymptote for f(x) = tan(x)? How do you find a vertical asymptote for a rational function? How do you find a vertical asymptote for f(x) = ln(x)? What is a Vertical Asymptote? How do you find the vertical asymptote of a logarithmic function? See all questions in Infinite Limits and Vertical Asymptotes Impact of this question 1318 views around the world You can reuse this answer Creative Commons License