For what values of x, if any, does #f(x) = 1/(x^2-2x+1) # have vertical asymptotes? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Jim H May 17, 2018 #x=1# Explanation: At #x=1#, #x^2-2x+1 = 0#, so, #lim_(xrarr1)f(x) = oo# and the line #x=1# is a vertical asymptote. 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 1738 views around the world You can reuse this answer Creative Commons License