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Definition: If a sequence of a series is convergent and its limit exists as a real number, then the series is called convergent.
Source: "Multivariable Calculus" by James Stewart
Example: Series: A1 + A2 + ... + An + ... = s Also, look at the second example in this page. Link: http://tutorial.math.lamar.edu/Classes/ CalcII/ConvergenceOfSeries.aspx