Converge
From Conservapedia
In a metric space (X, d), a sequence an in X is said to converge to a point x if roughly speaking as n goes to infinity an gets closer and closer to x and stays there. Rigorously, an is said to converge to x if for all ε > 0 there exists N such that for all n > N we have 
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Similar definitions can be made for convergence of functions.
