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

Lösung

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

\frac{1}{e}

Dezimale

0.36787 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

2 x y^{^{'}} - 6 y = x^{- 4}

x \to (\frac{π}{2}) - lim (sec (x))

\frac{d}{d x} ((cot (x) - csc (x))^{- 1})

t an g e n t y = lo g_{10} (x - 1), at x = 2

(2 sin (x) cos (x))^{^{'}}