Question 1000867
Degree of denominator is greater than degree of numerator, so as x goes unbounded either to the more negative, or to the more positive, the SIZE of f(x) becomes increasingly small, in this case, nearer to zero.


.... You could see a {{{2/x}}}  or  {{{-2/x}}} happening that way; and you should understand for extreme of x, this gets very near but never reaches 0.


{{{highlight(y=0)}}}, the horizontal asymptote.