Suppose f, g, h, i, j, k are functions satisfying

limx2 f(x) = limx2 g(x) = ,

h(x) > 0 for all x 6= 2 and limx2 h(x) = 0,

limx2 i(x) = 3, j(x) is a polynomial and j(2) = 5,

k(x) = (x 2)j(x) x 2 .