Showing posts with label limit proof by defintion. Show all posts
Showing posts with label limit proof by defintion. Show all posts

Sunday, February 27, 2011

Epsilon-delta definition

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.




















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