Analysis: Chapter 13 Limits and continuity

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Definition of accumulation points

Definition of isolated points

Definition of a limit in an accumulation point

Proposition on the uniqueness of limits

Theorem - sequence char. of limits

Theorem - limit laws

Definition - continuity in a point

Definition - continuity on a domain

Alternative ϵ−δ characterization of a continuity in a point

Theorem - Sequence characterization of continuity

Rules for continuous compositions

Images of compact sets under continuous functions are compact

Definition of uniform continuity

Uniform continuity implies continuity

Theorem - compactness and continuity imply uniform continuity