The Convergence Theorem

The Convergence Theorem generally states that under certain conditions, a sequence of numbers or functions approaches a limit. In simpler terms, if you keep adding or changing values in a specific way, they will eventually get closer and closer to a final value. This concept is essential in mathematics and science, as it helps in understanding how processes stabilize over time or how behaviors of functions can be predicted as they evolve. Essentially, it provides a framework for analyzing outcomes in various fields, including economics, physics, and statistics.