How do you find the limit of #1/(x^3 +4) # as x approaches infinity? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Alan N. Dec 16, 2016 #lim_"x->oo" 1/(x^3+4) = 0# Explanation: #lim_"x->oo" 1/(x^3+4) = lim_"x->oo" (1/x^3)/(1+4/x^3)# #=0/(1+0) = 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 1635 views around the world You can reuse this answer Creative Commons License