limit as x approaches 0+of x^{3/(x^4+ln(x))}

Lösung

x \to 0 + lim (x^{\frac{3}{x ^{4} + l n ( x )}})

e^{3}

Dezimale

20.08553 \dots

Schritte zur Lösung

x \to 0 + lim (x^{\frac{3}{x ^{4} + l n ( x )}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{3}{x ^{4} + l n ( x )} l n (x)})

Wende die Kettenregel für Grenzen an:

e^{3}

= e^{3}

x \to 0 lim (x^{4} sin (\frac{1}{3 x}))

x \to - 2 - lim (tan (\frac{π x}{4}))

x \to - 9 lim (\frac{72 - x + x}{9 + x})

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

x \to 0 lim (\frac{1 - cos ( 4 x )}{1 - cos ( 6 x )})