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:

For all , there exists a such that implies .

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.

Other exercises on: continuity   differentiability   calculus  

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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, analysis, continuity, limit, epsilon, delta, sequence