The curve 4x2−9y2=36 represents a hyperbola.
(i) Obtain the equations of its two asymptotes.
(ii) Show that the straight line 2x+3y=12 is not an asymptote of this hyperbola by proving that the perpendicular distance from a general point (x,y) on the hyperbola to the line does not tend to zero as x tends to infinity.