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

Lösung

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

e^{3}

Dezimale

20.08553 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Wende die Kettenregel für Grenzen an:

e^{3}

= e^{3}

\frac{d}{d x} (arcsin (x) + 1 - x^{2})

d er i v a t i v e f (x) = e^{x} - x^{4}

n = 1 \sum \infty ln (\frac{n}{2 n + 5})

\int \frac{x ^{2} - x + 6}{x ^{3} + 3 x} d x

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