concept of existance of limit

Concept of existence of Limit

Informal Definition of Limit :

Finding limits by calculating f(x0)

• Can be observed on a graph.

Observing a Limit

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Justify The Limit Value does not depend on How the Function Is defined at x0

Observing a Limit

• Can be observed on a graph.

Left-hand & Right-hand Limits

Notations for Left Hand Limit

Notations for Right Hand Limit

Examples

• Discuss the following limits:

(4) If , find

• Check whether exists , if