What is the limit as x approaches infinity of sinx? Precalculus Limits Limits Involving Infinity 1 Answer Shura Jun 6, 2015 The range of y = sinx is R = [-1;+1]; the function oscillates between -1 and +1. Therefore, the limit when x approaches infinity is undefined. 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 36017 views around the world You can reuse this answer Creative Commons License