text: find all horizontal and vertical asymptotes (if any)? s(x)= 2x+3/x-1 well dear ;  part 1  vertical asymptotes correspond to the zeroes of the denominator of a rational function  x-1 = 0  x = 1 ; v.a = +1    part 2  horizontal asymptotes ; limit of f(x) as x → ∞ lim (2x + 3 / x - 1) x → ∞ lim 2x / x { cancel " x" } x → ∞  = + 2 h.a =   2