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Beliebt Rechnen >

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

Lösung

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

Lösung

ln (a)

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

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

Setze den Wert

h = 0

ein

= \frac{a ^{0} ln ( a )}{1}

Vereinfache

= ln (a)

Graph

Beliebte Beispiele

y^'=(2y)/(tan(x))

y^{^{'}} = \frac{2 y}{tan ( x )}

integral from x to 10 of t^3

\int_{x}^{10} t^{3} d t

derivative of 8-3x

\frac{d}{d x} (8 - 3 x)

limit as x approaches infinity of x^9

x \to \infty lim (x^{9})

derivative (2x)/((1+x^2)^2)

d er i v a t i v e \frac{2 x}{( 1 + x ^{2} ) ^{2}}