Lecture

Definition of Limit: Epaintec

Description

This lecture covers the definition of a limit, stating that a function f has a limit L at x if for every epsilon, there exists a delta such that when x is within delta of a but not equal to a, f(x) is within epsilon of L. The lecture also explains the concept of a pointed limit, where f has a limit L at x if for every sequence (xn) converging to x, the sequence (f(xn)) converges to L. Notations and important remarks regarding limits are also discussed.

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