limit as x approaches 0+of (1+2x)^{4/x}

Lösung

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

e^{8}

Dezimale

2980.95798 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{4}{x} l n (1 + 2 x)})

Wende die Kettenregel für Grenzen an:

e^{8}

= e^{8}

x^{3} \frac{d ^{3} y}{d x ^{3}} + 2 x^{2} \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} + y = 12 x^{2}

\int z (ln (z))^{2} d z

\frac{\partial}{\partial y} (cos (x^{2} + y^{2}))

\int (3 x + 5) cos (\frac{x}{4}) d x

d er i v a t i v e 3 (e^{x} cos (x) - e^{x} sin (x))