How do you find the limit of #(sin2x)/x# as x approaches infinity? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Eddie Oct 1, 2016 #=0# Explanation: #sin 2x# is a continuous periodic function bounded as #sin 2x in [-1,1]# therefore #lim_(x to oo) (sin 2x)/x# #= lim_(x to oo) c/x# with #c in [-1,1]# #=0# 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 15878 views around the world You can reuse this answer Creative Commons License