The Convergence Test is a method used in mathematics, particularly in calculus and series analysis, to determine whether a given series or sequence approaches a specific value as more terms are added. If a series converges, it means that the sum of its terms approaches a finite limit. This is crucial for understanding the behavior of infinite series and ensuring that calculations involving them are valid. There are various types of convergence tests, such as the Ratio Test, Root Test, and Comparison Test, each with its own criteria for determining convergence. These tests help mathematicians and scientists analyze the properties of series and sequences, ensuring accurate results in fields like physics and engineering, where infinite processes are common.