# Converge

### From Conservapedia

In a metric space (X, d), a sequence *a*_{n} in X is said to **converge** to a point *x* if roughly speaking as *n* goes to infinity *a*_{n} gets closer and closer to *x* and stays there. Rigorously, *a*_{n} is said to converge to *x* if for all ε > 0 there exists N such that for all n > N we have .

Similar definitions can be made for convergence of functions.