How do I find the limit as #x# approaches infinity of #x^3/(3x)#? Precalculus Limits Limits Involving Infinity 1 Answer Monzur R. May 2, 2018 #lim_(x→∞) x^3/(3x)=∞# Explanation: #lim_(x→∞)x^3/(3x)=lim_(x→∞)x^2/3=∞# Answer link Related questions How do I find the limit as #x# approaches infinity of #(1.001)^x#? How do I find the limit as #x# approaches infinity of #x^7/(7x)#? How do I find the limit as #x# approaches infinity of #xsin(1/x)#? How do I find the limit as #x# approaches infinity of the square root function? How do I find the limit as #x# approaches infinity of #tanx#? What is the limit as #x# approaches infinity of #(x^2-4)/(2x-4x^2)#? What is the limit as #x# approaches infinity of #1/x#? What is the limit as #x# approaches infinity of #x#? What is the limit as #x# approaches infinity of #cosx#? What is the limit as #x# approaches infinity of #lnx#? See all questions in Limits Involving Infinity Impact of this question 7731 views around the world You can reuse this answer Creative Commons License