limit as x approaches 0+of (1+8x)^{1/x}

Lösung

x \to 0 + lim ((1 + 8 x)^{\frac{1}{x}})

e^{8}

Dezimale

2980.95798 \dots

Schritte zur Lösung

x \to 0 + lim ((1 + 8 x)^{\frac{1}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{1}{x} l n (1 + 8 x)})

Wende die Kettenregel für Grenzen an:

e^{8}

= e^{8}

x \to 7 lim (\frac{4 x}{x - 7})

x \to - 2 + lim (tan (\frac{π x}{4}))

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

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

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