limit as x approaches 0+of (g(x))^{(ln(2))/x}

Lösung

x \to 0 + lim ((g (x))^{\frac{l n ( 2 )}{x}})

0

Schritte zur Lösung

x \to 0 + lim (g (x)^{\frac{l n ( 2 )}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{l n ( 2 )}{x} l n (g (x))})

Wende die Kettenregel für Grenzen an:

0

= 0

x \to 1 lim (\frac{x + 1}{∣ x + 1 ∣})

x \to - \frac{π}{2} - lim (cos (x))

x \to 0 lim (4 - 8 x + 5 x^{2})

x \to 2 lim (x^{3} + 2 x^{2} - 5)

x \to 1 lim (ln (x^{x - 1}))