limit as x approaches infinity of (1+x)^{3/x}

Lösung

x \to \infty lim ((1 + x)^{\frac{3}{x}})

1

Schritte zur Lösung

x \to \infty lim ((1 + x)^{\frac{3}{x}})

Wende Exponentenregel an

= x \to \infty lim (e^{\frac{3}{x} l n (1 + x)})

Wende die Kettenregel für Grenzen an:

1

= 1

\int \frac{1}{x ^{2} + 36} d x

x \to - \infty lim (\frac{x ^{2} + 2}{x ^{3} + x ^{2} - 1})

x \to 0 lim (7 x^{3} + \frac{1}{4} x^{2})

\frac{\partial}{\partial y} (x \cdot ln (x + 2 y) + \frac{x}{y})

t an g e n t f (x) = \frac{1}{x + 2}