What is the limit of #arccos((1+x^2)/(1+2x^2))# as x goes to infinity? Calculus Limits Limits at Infinity and Horizontal Asymptotes 1 Answer bp Oct 22, 2015 #pi/3# Explanation: #arccos ((1+x^2)/(1+2x^2))= arccos((1/(x^2) +1)/(1/x^2 +2))#. Now apply the limit #x->oo#, it would be #arccos(1/2)=pi/3# 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 3046 views around the world You can reuse this answer Creative Commons License