limit as x approaches infinity of (1+(2/x))^{(x/4)}

Lösung

x \to \infty lim ((1 + (\frac{2}{x}))^{(\frac{x}{4})})

e

Dezimale

1.64872 \dots

Schritte zur Lösung

x \to \infty lim ((1 + \frac{2}{x})^{\frac{x}{4}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{x}{4} l n (1 + \frac{2}{x})})

Wende die Kettenregel für Grenzen an:

e

= e

\int_{0}^{3} x^{3} - 5 x d x

\frac{d y}{d x} = \frac{1}{7} y cos^{2} (y)

(y sin (x) + x y cos (x)) d x + (x sin (x) + 1) d y = 0

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

n \to \infty lim (ln (n))