Could someone show me how to do these limits? Let p(x) be a polynomial of degree n: p(x) = a0 + a1x + a2x^2 + · · · + anx^n (an cannot equal 0). How would you prove that the limit from x to infinity of p(x)/anx^n is 1 and that the limit from x to negative infinity of p(x)/anx^n is 1.
Thank you for any help.