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Beliebt Rechnen >

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

Lösung

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

Lösung

e

+1

Dezimale

2.71828 \dots

Schritte zur Lösung

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

Wende die allgemeine Grenze an:

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

= e

Graph

Beliebte Beispiele

(dy)/(dx)=1+sqrt(y-x)

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

tangent 3x^2-6x-9,\at x=3

t an g e n t 3 x^{2} - 6 x - 9, at x = 3

(\partial)/(\partial y)((xy^2)/(x^2y^3+1))

\frac{\partial}{\partial y} (\frac{x y ^{2}}{x ^{2} y ^{3} + 1})

limit as x approaches 1 of (x+3)/(x-2)

x \to 1 lim (\frac{x + 3}{x - 2})

fläche 6,0,16-2x

a re a 6, 0, 16 - 2 x