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

∣ x - x_{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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Description: on the definition of continuity: given epsilon, find delta. exercises interactifs, calcul et tracé de graphes en ligne
Keywords: interactive mathematics, interactive math, server side interactivity, analysis, epsilon, delta, continuity, limit, calculus