How do I find the limit as #x# approaches negative infinity of #sinx#? Precalculus Limits Limits Involving Infinity 1 Answer bp Jul 5, 2015 Limit does not exist Explanation: #Lim x-> -oo# sin x = # Lim x->oo# sin(-x)= #Lim x->oo# -sinx As # x->oo#, sin x will oscillate between -1 and +1 and will not converge to any particular value. Hence this limit would not exist. 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 8783 views around the world You can reuse this answer Creative Commons License