limit as x approaches infinity+of (1+1/x)^{x/6}

Lösung

x \to \infty + lim ((1 + \frac{1}{x})^{\frac{x}{6}})

6 e

Dezimale

1.18136 \dots

Schritte zur Lösung

x \to \infty lim ((1 + \frac{1}{x})^{\frac{x}{6}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{x}{6} l n (1 + \frac{1}{x})})

Wende die Kettenregel für Grenzen an:

6 e

= 6 e

n = 6 \sum \infty \frac{n}{n ^{2} + 1}

\frac{\partial}{\partial y} (x^{2} y z^{2})

\frac{\partial}{\partial x} (1 - ln (x))

\int_{1}^{3} x \frac{2.25}{x ^{3}} d x

y^{^{''}} + 10 y^{^{'}} + 21 y = 0, y (0) = 10, y^{^{'}} (0) = - 42