4.1. Series and Convergence

Definition 4.1.2: Series, Partial Sums, and Convergence

Let {a n} be an infinite sequence.
  1. The formal expression is called an (infinite) series.
  2. For N = 1, 2, 3, ... the expression S N = is called the N-th partial sum of the series.
  3. If lim S N exists and is finite, the series is said to converge.
  4. If lim S N does not exist or is infinite, the series is said to diverge.
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