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Beliebt Rechnen >

limit as h approaches 0-of (-ln(1+6h))/h

Lösung

h \to 0 - lim (\frac{- ln ( 1 + 6 h )}{h})

Lösung

- 6

Schritte zur Lösung

h \to 0 - lim (\frac{- ln ( 1 + 6 h )}{h})

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

= - h \to 0 - lim (\frac{ln ( 1 + 6 h )}{h})

Wende das L'Hopital Theorem an

= - h \to 0 - lim (\frac{\frac{6}{1 + 6 h}}{1})

Setze den Wert

h = 0

ein

= - \frac{\frac{6}{1 + 6 \cdot 0}}{1}

Vereinfache

= - 6

Graph

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