What is the limit? #lim_(x->oo)cos(2tan^-1x)# Calculus Limits Limits at Infinity and Horizontal Asymptotes 1 Answer Monzur R. · Y Feb 18, 2018 #-1# Explanation: #lim_(x→∞) cos2(tan^-1(x))=cos(2(lim_(x→∞)tan^-1(x)))=cos(2*pi/2)=cospi=-1# Answer link Related questions What kind of functions have horizontal asymptotes? How do you find horizontal asymptotes for #f(x) = arctan(x)# ? How do you find the horizontal asymptote of a curve? How do you find the horizontal asymptote of the graph of #y=(-2x^6+5x+8)/(8x^6+6x+5)# ? How do you find the horizontal asymptote of the graph of #y=(-4x^6+6x+3)/(8x^6+9x+3)# ? How do you find the horizontal asymptote of the graph of y=3x^6-7x+10/8x^5+9x+10? How do you find the horizontal asymptote of the graph of #y=6x^2# ? How can i find horizontal asymptote? How do you find horizontal asymptotes using limits? What are all horizontal asymptotes of the graph #y=(5+2^x)/(1-2^x)# ? See all questions in Limits at Infinity and Horizontal Asymptotes Impact of this question 3200 views around the world You can reuse this answer Creative Commons License
