How is the limit of resolution of an instrument and its resolving power related?

The limit of resolution of a lens is the ratio of lens diameter and resolving power.
The limit of resolution of an instrument is proportional to resolving power.
As the limit of resolution of an instrument increases, its resolving power decreases.
The limit of resolution of an instrument is independent of resolving power.
The limit of resolution of an instrument is the negative reciprocal of resolving power