Analysis: Chapter 5 Sequences

nananana

Definition of a sequence.

Definition of a bounded sequence.

Proposition of a normed vector space and a sequence.

We say that a sequence converges to a point if…

Definition of a divergent sequence.

Definition of a constant sequence.

Definition on the uniqueness of limits.

Proposition on sequences and distances.

Definition on convergent sequences are bounded.

Proposition on distance and two convergent sequences

Eventually equal sequences have the same limit

Theorem on a normed vector space and sequences.

Proposition on the index shift