Asymptote:An asymptote is a line that a graph approaches but never touches. It can be related to singularities as they both involve the behavior of functions at certain points.
Discontinuity:A discontinuity occurs when there is a break or jump in the graph of a function. Some types of discontinuities are caused by singularities.
Removable Singularity: A removable singularity is a type of singularity that can be 'filled' or removed by redefining the function at that point.