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Definition 3.1.2: Convergence

A sequence of real (or complex) numbers is said to converge to a real (or complex) number c if for every > 0 there is an integer N > 0 such that if j > N then | aj - c | < . The number c is called the limit of the sequence and we sometimes write aj c.

If a sequence does not converge, then we say that it diverges.

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