Definitions
A series converges if there exists a value such that the sequence of the partial sums
converges to . That is, for any ε > 0, there exists an integer N such that if n ≥ N, then
A series converges conditionally if the series converges but the series diverges.
A permutation is simply a bijection from the set of positive integers to itself. This means that if is a permutation, then for any positive integer, there exists exactly one positive integer such that . In particular, if, then .
Read more about this topic: Riemann Series Theorem
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