I have a plane and added a curve modifier to it. But no matter the number of sub-divisions or loop cuts, the deformation doesn't get smoother beyond a point. I have tried using smooth shading, applying subdivision surface modifier (to the plane as well as to the curve) with sufficient number of sub-divisions, to no avail. Any idea what must be going wrong?
You can try both method
Select the curve go to curve tab and in Resolution - Preview U : increase from 12
You have added loop cut vertically and no loop cut horizontally
So just select all and delete with limited dissolve
Press W key and add subdivide and Press f6 to increase the count to above 7
No need of subsurf modifier
Apply smooth shading.