Epsilon --- Introduction ---

This is an exercise on the definition of continuity

A function f is continuous on a point x 0 if

For all ε>0, there exists a δ>0, such that xx 0<δ implies f(x)f(x 0)<ε.
Given a concret function (who is continuous), a x 0 and a ε>0, you have to find a δ>0 which verifies the above condition. And you will be noted according to this δ: more it is close to the best possible value, better will be your note.
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Other exercises on: Continuity   Limit   Analysis   Calculus  


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Description: on the definition of continuity: given epsilon, find delta. interactive exercises, online calculators and plotters, mathematical recreation and games

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