limit as x approaches 0 of (1+2x)^{5/x}

Lösung

x \to 0 lim ((1 + 2 x)^{\frac{5}{x}})

e^{10}

Dezimale

22026.46579 \dots

Schritte zur Lösung

x \to 0 lim ((1 + 2 x)^{\frac{5}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{5}{x} l n (1 + 2 x)})

Wende die Kettenregel für Grenzen an:

e^{10}

= e^{10}

t an g e n t 2 x^{3} + 2 x y + 2 y^{2} = 38, (- 1, - 4)

x \to 0 lim (\frac{sin ( x )}{x} - 1)

\int_{2}^{5} \frac{1}{x - 2} d x

d er i v a t i v e f (x) = (2 x^{3} + 5 x) (x - 3) (x + 2)

x \to π lim (3 cot (x))