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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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Description: collection of exercises ont the continuity of functions of one real variable. serveur web interactif avec des cours en ligne, des exercices interactifs en sciences et langues pour l'enseigment primaire, secondaire et universitaire, des calculatrices et traceurs en ligne

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