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Beliebt Rechnen >

limit as x approaches 0 of (ln(1+3x))/x

Lösung

x \to 0 lim (\frac{ln ( 1 + 3 x )}{x})

Lösung

3

Schritte zur Lösung

x \to 0 lim (\frac{ln ( 1 + 3 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{\frac{3}{1 + 3 x}}{1})

Setze den Wert

x = 0

ein

= \frac{\frac{3}{1 + 3 \cdot 0}}{1}

Vereinfache

= 3

Graph

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