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Beliebt Rechnen >

limit as x approaches 0+of (e^x+x)^{3/x}

Lösung

x \to 0 + lim ((e^{x} + x)^{\frac{3}{x}})

Lösung

e^{6}

+1

Dezimale

403.42879 \dots

Schritte zur Lösung

x \to 0 + lim ((e^{x} + x)^{\frac{3}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{3}{x} l n (e^{x} + x)})

Wende die Kettenregel für Grenzen an:

e^{6}

= e^{6}

Graph

Beliebte Beispiele

integral of 1/(x^2+2x+3)

\int \frac{1}{x ^{2} + 2 x + 3} d x

(dy)/(dx)= x/(1+2y)

\frac{d y}{d x} = \frac{x}{1 + 2 y}

tangent f(x)=(x^3)/3+2x^2+13x-5

t an g e n t f (x) = \frac{x ^{3}}{3} + 2 x^{2} + 13 x - 5

sum from n=1 to infinity of n/(ln(2n))

n = 1 \sum \infty \frac{n}{ln ( 2 n )}

tangent x^3-2x+2,\at x=3,y=21

t an g e n t x^{3} - 2 x + 2, at x = 3, y = 21