Epsilon --- Introduction ---

This is an exercise on the definition of continuity :

A function f  is continuous on a point x0, if:

For all varepsilon> 0, there exists a delta> 0, such that |x-x0| le delta implies |f (x)-f (x0)| le varepsilon.

Given a concret function (who is continuous), a x0 and a varepsilon> 0, you have to find a delta> 0 which verifies the above condition. And you will be noted according to this delta: more it is close to the best possible value, better will be your note.

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Other exercises on: Continuity   Limit   Calculus  


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