#
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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Description: collection of exercises ont the continuity of functions of one real variable. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, nice sophia antipolis university, analysis, continuity,limit,sequence,real_function, calculus