limit as x approaches 0+of (1+5x)^{3/x}

Lösung

x \to 0 + lim ((1 + 5 x)^{\frac{3}{x}})

e^{15}

Dezimale

3269017.37247 \dots

Schritte zur Lösung

x \to 0 + lim ((1 + 5 x)^{\frac{3}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{3}{x} l n (1 + 5 x)})

Wende die Kettenregel für Grenzen an:

e^{15}

= e^{15}

x \to 4 lim (2 x^{2} - 3 x + 40)

x \to 1 lim (3 x^{2} - 5 x + 2)

x \to 2 lim (lo g_{2} (x + 2))

x \to - 4 lim (1)

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