How do you evaluate the limit #lim e^x-x^2# as #x->-oo#? Calculus Limits Infinite Limits and Vertical Asymptotes 1 Answer Somebody N. Dec 5, 2017 #-oo# Explanation: as #x->-oo# , #color(white)(88)e^x->0# as #x->-oo# , #color(white)(88)x^2->oo# #:.# as #x->-oo# , #color(white)(88)e^x-x^2->-oo# #lim_(x->-oo)(e^x-x^2)=-oo# Answer link Related questions How do you show that a function has a vertical asymptote? What kind of functions have vertical asymptotes? How do you find a vertical asymptote for y = sec(x)? How do you find a vertical asymptote for y = cot(x)? How do you find a vertical asymptote for y = csc(x)? How do you find a vertical asymptote for f(x) = tan(x)? How do you find a vertical asymptote for a rational function? How do you find a vertical asymptote for f(x) = ln(x)? What is a Vertical Asymptote? How do you find the vertical asymptote of a logarithmic function? See all questions in Infinite Limits and Vertical Asymptotes Impact of this question 2104 views around the world You can reuse this answer Creative Commons License