Calculate the following limits at infinity If necessary use inf and inf to denote o and o Use DNE if a limit does not exist 1 lim sin x dne 818 2 lim sin x dne 8118 3 lim tan x 818 4 lim tan x 118 TC 2 TC 2 Part 2 Horizontal Asymptotes List any horizontal asymptotes for the following functions If there are no asymptotes enter NONE If there is more than one asymptote give a comma separated list i e 1 2 1 The function sin x has horizontal asymptote s y none 2 The function tan x has horizontal asymptote s y TC 2