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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

derivative of 25x^3-6x^2+7x-88

\frac{d}{d x} (25 x^{3} - 6 x^{2} + 7 x - 88)

(dy)/(dx)=0.1y(1-y/(500))

\frac{d y}{d x} = 0.1 y (1 - \frac{y}{500})

9y^{''}-24y^'+16y=0

9 y^{^{''}} - 24 y^{^{'}} + 16 y = 0

derivative y= 1/((x^2-2)(x^2+x+5))

d er i v a t i v e y = \frac{1}{( x ^{2} - 2 ) ( x ^{2} + x + 5 )}

tangent y=5xcos(x),(pi,-5pi)

t an g e n t y = 5 x cos (x), (π, - 5 π)