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Beliebt Rechnen >

limit as h approaches 0 of ((2^h-1))/h

Lösung

h \to 0 lim (\frac{( 2 ^{h} - 1 )}{h})

Lösung

ln (2)

+1

Dezimale

0.69314 \dots

Schritte zur Lösung

h \to 0 lim (\frac{2 ^{h} - 1}{h})

Wende das L'Hopital Theorem an

= h \to 0 lim (\frac{ln ( 2 ) \cdot 2 ^{h}}{1})

Setze den Wert

h = 0

ein

= \frac{ln ( 2 ) \cdot 2 ^{0}}{1}

Vereinfache

= ln (2)

Graph

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