How do you find lim_(t to oo)sqrt(t^2+2)/(4t+2)? Calculus Limits Limits at Infinity and Horizontal Asymptotes 1 Answer Guillaume L. May 10, 2018 lim_"t ->+∞"(sqrt(t²+2))/(4t+2)=1/4 Explanation: lim_"t ->+∞"(sqrt(t²+2))/(4t+2) =lim_"t -> +∞"(|t|)/(4t+2) =lim_"t - >+∞"t/(4t+2) =lim_"t ->+∞"t/(4t)+0^- =1/4+0^- =1/4 \0/ here's our answer! 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 1816 views around the world You can reuse this answer Creative Commons License