limit as x approaches 0 of (3x+1)^{1/x}

Lösung

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

e^{3}

Dezimale

20.08553 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{1}{x} l n (3 x + 1)})

Wende die Kettenregel für Grenzen an:

e^{3}

= e^{3}

\frac{\partial}{\partial y} (x y sin (x))

\frac{\partial}{\partial x} (y^{4} - 4 x y)

\int ln (1 - x^{2}) d x

x \to - 7 + lim (x + 7)

\frac{\partial}{\partial x} (12 x^{2} - 9 x y + 16 y^{2})