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Beliebt Rechnen >

limit as x approaches (0)+of 3x^{(x/2)}

Lösung

x \to (0) + lim (3 x^{(\frac{x}{2})})

Lösung

3

Schritte zur Lösung

x \to 0 + lim (3 x^{\frac{x}{2}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 3 \cdot x \to 0 + lim (x^{\frac{x}{2}})

Wende Exponentenregel an

= 3 \cdot x \to 0 + lim (e^{\frac{x}{2} l n (x)})

Wende die Kettenregel für Grenzen an:

1

= 3 \cdot 1

Vereinfache

= 3

Graph

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