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Convergence

  • Definition: A sequence {x_n} of points in a metric space (S, d) is said to converge if there is a point p in S with the following property: For every epsilon > 0 there is an integer N such that d(x_n, p) < epsilon whenever n >= N.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

  • Listed under: Mathematical Analysis, Multivariable Calculus

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