limit as k approaches infinity of (1-1/(2k))^k

Lösung

k \to \infty lim ((1 - \frac{1}{2 k})^{k})

\frac{1}{e}

Dezimale

0.60653 \dots

Schritte zur Lösung

k \to \infty lim ((1 - \frac{1}{2 k})^{k})

Wende Exponentenregel an

= k \to \infty lim (e^{k l n (1 - \frac{1}{2 k})})

Wende die Kettenregel für Grenzen an:

\frac{1}{e}

= \frac{1}{e}

x \to \infty lim (x^{3} + 4)

x \to 0 lim (\frac{x + 6}{x ^{2}})

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

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

x \to 2 lim (x (x - 5) + 8)