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.
The most recent version
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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,sequence,real_function, calculus