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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{2}

+1

Dezimale

7.38905 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

e^{2}

= e^{2}

Graph

Beliebte Beispiele

fläche y=4x^3,y=100x

a re a y = 4 x^{3}, y = 100 x

integral of (4x+5)^4

\int (4 x + 5)^{4} d x

limit as x approaches mi of x

x \to mi lim (x)

integral of ((u-1)^2)/u

\int \frac{( u - 1 ) ^{2}}{u} d u

f (x) = 10 x