Convex lenses, also known as plus powered lenses, do cause light to converge. This type of lens is used on a Hyperopic (farsighted) patient. Concave lenses cause light to diverge and are used on Myopic (nearsighted) patients.
when the rays pass through the convex lens they tend to converge to the central horizontal axis as a result of which they seem to be meeting at common point so these are also called as converging...