Definition: In mathematics, a horselike curve is a type of geometric curve that can be defined as the limit of a sequence of circles in a plane. These curves are often used to model various shapes and patterns in nature or engineering. Horselike curves are named after their resemblance to horseshoes, which are commonly seen on horses' hooves. They have an interesting property where they converge towards a particular point as the sequence progresses. This convergence is known as limit of continuity, indicating that