Definition of

Converge

Converge

Approach toward a definite value or point.

These railway lines visually converge towards the horizon. (But they don't really meet or a train would fall off!)

A sequence of numbers, or a function, can also converge to a specific value.

Example: these numbers converge towards 1:
  0.9, 0.99, 0.999, 0.9999, ...