For what values of x, if any, does #f(x) = e^x/(e^x-3e^x) # have vertical asymptotes? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Andrea S. Dec 20, 2016 #f(x)# is a constant and has no vertical asymptotes. Explanation: We can write #f(x)# as: #f(x) = e^x/(e^x-3e^x) = e^x/(-2e^x)=-1/2# So, #f(x)# is a constant and has no vertical asymptotes. 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 1324 views around the world You can reuse this answer Creative Commons License