!! used as default html header if there is none in the selected theme. OEF continuity

# OEF continuity --- Introduction ---

This module actually gathers 5 exercises on the continuity (definition and fundamental properties) of functions of one real variable.

### Continuity and sequences

Let be a real function. Are the following statements justified?

A. If , then .

B. If , then .

### Epsilon - Delta

Let be a real function such that:
For all , there exists a such that implies .
What does this mean to the continuity of ?

### Epsilon - Delta II

Let be a real function such that:
, , such that .
What does this mean to the continuity of ?

### Mixed multiplication

Let be a real function. Is the following statement true?
If is continuous, then is continuous.

### Powers

Let be a real function. Is the following statement true?
If is continuous, then is continuous.
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