The $e\psilon-\delta$ definition states that the limit of $f(x) = L$ as $x$ approaches $a$ if for all $\epsilon > 0$, there exists a $\delta > 0$, such that if $|x-a| < \delta$, then $|f(x) - L| < \epsilon$. The applet below courtesy of Sylvain Berube, shows its geometric interpretation.

Who's Sylvain Bérubé? https://sites.google.com/site/mathynick/geogebra-dynamic-worksheets Belongs to me, lol. Nick B

ReplyDeleteoops sorry... :-D

ReplyDeleteNick, could you give me your full name, if you don't mind.

ReplyDeleteNicholas Benallo

ReplyDeleteI changed my nickname over to MathyNick.

The linear function is draggable. Once the graph is translated vertically, some of the numerical values become unrelated to what is presented graphically.

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