de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

limit as x approaches 0 of (1-6x)^{1/x}

Lösung

x \to 0 lim ((1 - 6 x)^{\frac{1}{x}})

Lösung

\frac{1}{e ^{6}}

+1

Dezimale

0.00247 \dots

Schritte zur Lösung

x \to 0 lim ((1 - 6 x)^{\frac{1}{x}})

Wende Exponentenregel an

= x \to 0 lim (e^{\frac{1}{x} l n (1 - 6 x)})

Wende die Kettenregel für Grenzen an:

\frac{1}{e ^{6}}

= \frac{1}{e ^{6}}

Graph

Beliebte Beispiele

tangent f(x)=4sec(x),\at x= pi/3

t an g e n t f (x) = 4 sec (x), at x = \frac{π}{3}

integral of k/(x^3)

\int \frac{k}{x ^{3}} d x

derivative of tan(3x^4)

\frac{d}{d x} (tan (3 x^{4}))

(sec(x)tan(x))^'

(sec (x) tan (x))^{^{'}}

derivative (3(7x^2-2x+6))/(4x^{5/2)}

d er i v a t i v e \frac{3 ( 7 x ^{2} - 2 x + 6 )}{4 x ^{\frac{5}{2}}}