Difference between revisions of "Template:AotD"

Revision as of 15:37, 6 January 2008

Limit

For a real function $f(x)$ and some value $c$ , $\lim_{x\rightarrow c} f(x)$ (said, "the limit of $f$ at $x$ as $x$ goes to $c$ ) equals $L$ iff for every $\epsilon > 0$ there exists a $\delta$ such that if $0<|x-c|<\delta$ , then $|f(x)-L|< \epsilon$ ... [more]

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 <blockquote style="display:table;background:#eeeeee;padding:10px;" class="toccolours">
-===[[American Mathematics Competitions]]===
+===[[Limit]]===
-The '''American Mathematics Competitions''' (AMC) consist of a series of increasingly difficult tests for students in middle school and high school.  The AMC sets the standard in the United States for talented high school students of [[mathematics]].  The AMC curriculum is both comprehensive and modern.  AMC exams are so well designed that some top universities such as [[MIT]] now ask students for their AMC scores.  "AMC" is also used as an abbreviation for American Math Contest, used to refer to the AMC 8, AMC 10, and AMC 12... [[American Mathematics Competitions|[more]]]
+For a [[Real numbers|real]] [[function]] <math>f(x)</math> and some value <math>c</math>, <math> \lim_{x\rightarrow c} f(x)</math> (said, "the limit of <math>f</math> at <math>x</math> as <math>x</math> goes to <math>c</math>) equals <math>L</math> [[iff]] for every <math>\epsilon > 0</math> there exists a <math>\delta </math> such that if <math>0<|x-c|<\delta</math>, then <math>|f(x)-L|< \epsilon</math>... [[Limit|[more]]]
 </blockquote>

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Difference between revisions of "Template:AotD"

Revision as of 15:37, 6 January 2008

Limit