Question
$E$ ist genau dann zusammenhângend, wenn 0 und $E$ die einzigen Teilmengen von $E$ sind. die sowohl offen als auch abgeschlossen sind.
Step 1
First, let's recall the definition of a connected set. A set E is connected if it cannot be represented as the union of two non-empty disjoint open sets. Show more…
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$\mathrm{f}(\mathrm{x})= \begin{cases}\frac{\sin \{\mathrm{x}\}}{\{\mathrm{x}\}}, & \{\mathrm{x}\} \neq 0 \\ \mathrm{k} & \{\mathrm{x}\}=0\end{cases}$ $\mathrm{f}(\mathrm{x})$ can never be continuous for any value of $\mathrm{K}$.
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