Show that the limit that follows does not exist by calculating the limit along the given paths.
lim₍ₓ,ᵧ₎ →₍₀,₀₎ (2xy + y³)/(x² + y²)

Along Path #1 -> x = 0: _______

Along Path #2 -> y = 0: _______

Along Path #3 -> y = 5x: _______