Let f x r2 52 6 4 x a Find lim f x If the limit does not exist explain why x4 2 b Find lim f x If the limit does not exist explain why c Based on your work in parts a and b does the graph of f x have any vertical asymptotes If so find the equations of the vertical asymptotes d Find lim f x and lim f x x 8118 e Based on your work in part d does the graph of f x have any horizontal asymptotes If so find the equations of the horizontal asymptotes of f x