Let this function be f(x). When (x, f(x)) on a point curve tends to infinity, it depends on whether the curve tends to a straight line.

Since f(x) tends to infinity, 1 and 2 when x tends to 0, x = 0, x = 1 and x = 2 are asymptotes.

When x tends to infinity, f(x)/x tends to 1 and f(x)-x tends to (π/2) 2, so y = x+(π/2) 2 is also an asymptote.