Continuity
The notion of Continuity is one of the most important in real analysis, partly because continous functions most closely resemble the behaviour of observables in nature.
Although continuity and continous functions can be defined on more general sets, we will restrict ourselves to
Definition
Let
Let
Let
We say that is continous at point
iff
such that
If is continous at
, we say that
is Continous over
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