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 (x^2-3x+2)/(x^3-2x^2)

Lösung

x \to 0 + lim (\frac{x ^{2} - 3 x + 2}{x ^{3} - 2 x ^{2}})

Lösung

- \infty

Schritte zur Lösung

x \to 0 + lim (\frac{x ^{2} - 3 x + 2}{x ^{3} - 2 x ^{2}})

\frac{x ^{2} - 3 x + 2}{x ^{3} - 2 x ^{2}} = (x^{2} - 3 x + 2) \frac{1}{x ^{3} - 2 x ^{2}}

= x \to 0 + lim ((x^{2} - 3 x + 2) \frac{1}{x ^{3} - 2 x ^{2}})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 + lim (x^{2} - 3 x + 2) \cdot x \to 0 + lim (\frac{1}{x ^{3} - 2 x ^{2}})

x \to 0 + lim (x^{2} - 3 x + 2) = 2

x \to 0 + lim (\frac{1}{x ^{3} - 2 x ^{2}}) = - \infty

= 2 (- \infty)

Wende die Unendlichkeitseigenschaft an:

c \cdot (- \infty) = - \infty

= - \infty

Graph

Beliebte Beispiele

x^2((dy)/(dx))+xy=1

x^{2} (\frac{d y}{d x}) + x y = 1

limit as x approaches 0 of (e^{x^2}-1)/x

x \to 0 lim (\frac{e ^{x^{2}} - 1}{x})

derivative (sqrt(x))/(x^3+1)

d er i v a t i v e \frac{x}{x ^{3} + 1}

(dy)/(dx)=3xcos(x^2)

\frac{d y}{d x} = 3 x cos (x^{2})

10 x y y^{^{'}} = 1 - y^{2}