Convergence Theorem

The Convergence Theorem generally refers to a principle in mathematics and statistics stating that, under certain conditions, a sequence of numbers or functions will approach a specific value or function as they progress. This means that as you look at more and more elements in the sequence, they get closer to a fixed point. In practical terms, it assures us that averaging lots of data will lead to a reliable estimate of a true value, or that repeated measurements will yield consistent results, making it a key concept in many fields, including calculus and probability.