Question #abdae Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Jim H Jun 1, 2016 #lim_(xrarroo)2^(2x+1) = oo# (The limit does not exist because as #x# increases without bound, the function increases without bound.) Explanation: As #x# increases without bound, #2x+1# also increases without bound. Therefore, #2^(2x+1)# increases without bound. 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 1494 views around the world You can reuse this answer Creative Commons License