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Beliebt Rechnen >

limit as x approaches 1 of (1+1/x)^x

Lösung

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

Lösung

2

Schritte zur Lösung

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

Setze den Wert

x = 1

ein

= (1 + \frac{1}{1})^{1}

Vereinfache

= 2

Graph

Beliebte Beispiele

limit as x approaches 4 of 3x+2+2x

x \to 4 lim (3 x + 2 + 2 x)

limit as x approaches 0+of x^{-4}

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

limit as x approaches-infinity of 2^{2x}

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

limit as x approaches 0 of (1/x)/1

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

limit as x approaches infinity of-12x^5

x \to \infty lim (- 12 x^{5})