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Beliebt Rechnen >

limit as x approaches 0+of (1+x)^{2/x}

Lösung

x \to 0 + lim ((1 + x)^{\frac{2}{x}})

Lösung

e^{2}

+1

Dezimale

7.38905 \dots

Schritte zur Lösung

x \to 0 + lim ((1 + x)^{\frac{2}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{2}{x} l n (1 + x)})

Wende die Kettenregel für Grenzen an:

e^{2}

= e^{2}

Graph

Beliebte Beispiele

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d er i v a t i v e f (x) = e^{x^{5} + 2 x}

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d er i v a t i v e y = x^{2} y^{3} + x^{3} y^{2}

(dy)/(dx)=e^{(6x-3y)}

\frac{d y}{d x} = e^{(6 x - 3 y)}

derivative of 1/((16-x^2))

\frac{d}{d x} (\frac{1}{( 16 - x ^{2} )})

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\int 10 1 + cos (4 x) d x