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

Lösung

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

e

Dezimale

2.71828 \dots

Schritte zur Lösung

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

Vereinfache

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

Wende die allgemeine Grenze an:

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

= e

x \to \infty lim (9 + \frac{6}{x})

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

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x \to 0 lim ((1 - x)^{l n (x)})

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