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Astrum
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I'm a bit confused about how my book defines convergence.
Definition: A sequence {an} convergences to l if for every ε > 0 there is a natural number N such that, for all natural numbers n, if n > N, then l a,-l l < ε
note, l a,-l l = the absolute value
Maybe someone could give me an example? The definition seems incomplete. This is essentially like an epsilon-delta proof for limits, right?
Definition: A sequence {an} convergences to l if for every ε > 0 there is a natural number N such that, for all natural numbers n, if n > N, then l a,-l l < ε
note, l a,-l l = the absolute value
Maybe someone could give me an example? The definition seems incomplete. This is essentially like an epsilon-delta proof for limits, right?
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