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

Lösung

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

1

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

1

= 1

\int \frac{1 + sin ( x )}{x ^{3}} d x

\int_{0}^{9} π (x - 1)^{2} d x

t an g e n t y = 7 e^{x} cos (x), (0, 7)

a re a 4 t^{3} - t^{2}, t^{4} + 2 t^{2}, 1 \leq t \leq 3

\int_{0}^{\infty} t e^{- 3 t} d t