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Mathematik-Online problems:

Problem 128: Dirichlet Function

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Let $ f: \mathbb{R}\longrightarrow\mathbb{R}$ be the function defined by

$\displaystyle \hspace*{-0.8cm} {\bf {a)}} \hspace*{0.5cm} f(x) = \left\{\begin{... ...} \\ 0, & {\mbox{if}} \ x\in\mathbb{R}\setminus\mathbb{Q}\end{array}\right.. $

Are there points $ x\in\mathbb{R}$ for which $ f$ is continuous?
(Authors: Apprich/Höfert)

Solution:

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  automatisch erstellt am 14. 10. 2004