Limit of sequences

Author:
Lucia Del Chicca, Andreas Lindner
Topic:
Limits, Sequences and Series
Let (an)n∈ be a sequence and a ∈ . We say that the sequence (an)n∈ converges to a if and only if ∀ε > 0 ∃n_0 ∈ N ∀n ≥ n_0 : |an − a| < ε