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Beliebt Rechnen >

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

Lösung

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

Lösung

e

+1

Dezimale

2.71828 \dots

Schritte zur Lösung

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

Wende die allgemeine Grenze an:

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

= e

Graph

Beliebte Beispiele

sum from n=1 to infinity of n^{-1/2}

n = 1 \sum \infty n^{- \frac{1}{2}}

derivative y=(x^4)/(1-x^3)

d er i v a t i v e y = \frac{x ^{4}}{1 - x ^{3}}

limit as x approaches 5+of (x-6)/(x-5)

x \to 5 + lim (\frac{x - 6}{x - 5})

integral of 5x^{-6}

\int 5 x^{- 6} d x

inverselaplace 1/8

in v erse l a pl a ce \frac{1}{8}