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Beliebt Rechnen >

limit as h approaches 0 of (1+5h)^{1/h}

Lösung

h \to 0 lim ((1 + 5 h)^{\frac{1}{h}})

Lösung

e^{5}

+1

Dezimale

148.41315 \dots

Schritte zur Lösung

h \to 0 lim ((1 + 5 h)^{\frac{1}{h}})

Wende Exponentenregel an

= h \to 0 lim (e^{\frac{1}{h} l n (1 + 5 h)})

Wende die Kettenregel für Grenzen an:

e^{5}

= e^{5}

Graph

Beliebte Beispiele

derivative of sqrt(y^2-x^2)

\frac{d}{d x} (y^{2} - x^{2})

integral of e^{5x+e^{5x}}

\int e^{5 x + e^{5 x}} d x

inverselaplace s/(2s^2+4s+3)

in v erse l a pl a ce \frac{s}{2 s ^{2} + 4 s + 3}

(dy)/(dx)=(xsqrt(1-y^2))/(ysqrt(1-x^2))

\frac{d y}{d x} = \frac{x 1 - y ^{2}}{y 1 - x ^{2}}

integral of x^3-2x^{-2}+6x

\int x^{3} - 2 x^{- 2} + 6 x d x