Mathematik-Online problems: Problem 128: Dirichlet Function

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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

is continuous?

(Authors: Apprich/Höfert)

see also:

Keyword: Continuity
Keyword: Dirichlet

[Solutions]

automatisch erstellt am 14. 10. 2004