What is the limit as x approaches infinity of #6cos(x)#? Calculus Limits Determining Limits Graphically 1 Answer Anjali G Mar 12, 2018 #lim_(x->oo) 6cosx DNE# Explanation: As #x# approaches #oo#, the function #6cosx# alternates between -6 and 6, and never approaches a single value, thus the limit does not exist. Answer link Related questions How do you find #lim_(x->5)(x^2+2)# using a graph? How do i graph limits? How do you find limits on a graphing calculator? How do you use a graph to determine limits? What is the limit as x approaches infinity of a constant? What is the limit as x approaches infinity of #1.001^x#? What is the limit as x approaches 0 of #x/arctan(4x)#? What is the limit as x approaches 0 of #cotx/lnx#? What is the limit as x approaches 0 of #(1+2x)^cscx#? What is the limit as x approaches infinity of #((2x-3)/(2x+5))^(2x+1)#? See all questions in Determining Limits Graphically Impact of this question 8688 views around the world You can reuse this answer Creative Commons License