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 infinity of (2x^2-9x-2)/(-5x^2-10x+3)

Lösung

x \to \infty lim (\frac{2 x ^{2} - 9 x - 2}{- 5 x ^{2} - 10 x + 3})

Lösung

- \frac{2}{5}

+1

Dezimale

- 0.4

Schritte zur Lösung

x \to \infty lim (\frac{2 x ^{2} - 9 x - 2}{- 5 x ^{2} - 10 x + 3})

Teile durch den größten gemeinsamen Potenznenner:

\frac{2 - \frac{9}{x} - \frac{2}{x ^{2}}}{- 5 - \frac{10}{x} + \frac{3}{x ^{2}}}

= x \to \infty lim (\frac{2 - \frac{9}{x} - \frac{2}{x ^{2}}}{- 5 - \frac{10}{x} + \frac{3}{x ^{2}}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

= \frac{lim _{x \to \infty} ( 2 - \frac{9}{x} - \frac{2}{x ^{2}} )}{lim _{x \to \infty} ( - 5 - \frac{10}{x} + \frac{3}{x ^{2}} )}

x \to \infty lim (2 - \frac{9}{x} - \frac{2}{x ^{2}}) = 2

x \to \infty lim (- 5 - \frac{10}{x} + \frac{3}{x ^{2}}) = - 5

= \frac{2}{- 5}

Vereinfache

= - \frac{2}{5}

Graph

Beliebte Beispiele

derivative of sqrt((x^2+y^2))

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

(\partial)/(\partial x)(y^2*x^4*e^x+2)

\frac{\partial}{\partial x} (y^{2} \cdot x^{4} \cdot e^{x} + 2)

derivative of (e^{7x}+e^{-7x}/x)

\frac{d}{d x} (\frac{e ^{7 x} + e ^{- 7 x}}{x})

integral from 0 to 1 of-x^2

\int_{0}^{1} - x^{2} d x

integral of (sin(x))/(x^2+1)

\int \frac{sin ( x )}{x ^{2} + 1} d x