How do you show that a function has a vertical asymptote? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Shwetank Mauria Apr 21, 2018 You have a vertical asymptote in #f(x)#, if for some #x=a#, #lim_(x->a)f(x)=+-oo#. In algebraic functions this happens when a factor in denominator tends to #0#. Answer link Related questions 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? How do you find the vertical asymptote of a rational function? See all questions in Infinite Limits and Vertical Asymptotes Impact of this question 9722 views around the world You can reuse this answer Creative Commons License