limit as x approaches 0+of (ln(x+1))^x

Lösung

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

1

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

1

= 1

x \to 2 lim (\frac{x ^{2} + 5}{x + 1})

x \to 7 - lim (\frac{( x ^{2} - 5 x - 14 )}{x ^{2} - 49})

n \to \infty lim (n x^{n})

x \to 0 lim (\frac{arctan ( x ) - arcsin ( x )}{x ( 1 - cos ( x ) )})

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