Potenzfunktion/Positive Basis/Rationaler Exponent/Stetig/Aufgabe

Es sei ${}q\in \mathbb {Q}$ fixiert. Zeige, dass die Potenzfunktion

f\colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,\,x\longmapsto x^{q},

ist.

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