limit as x approaches 0+of (1+5x)^{2/x}

Lösung

x \to 0 + lim ((1 + 5 x)^{\frac{2}{x}})

e^{10}

Dezimale

22026.46579 \dots

Schritte zur Lösung

x \to 0 + lim ((1 + 5 x)^{\frac{2}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{2}{x} l n (1 + 5 x)})

Wende die Kettenregel für Grenzen an:

e^{10}

= e^{10}

x \to 1 lim (\frac{3 x}{x - 1})

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

x \to \infty lim (\frac{30}{x})

x \to 0 - lim (\frac{x ^{3} + 4}{x ^{2}})

x \to 0 lim (\frac{cos ( x ) - cos ( 3 x )}{x ^{3}})