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Beliebt Rechnen >

limit as x approaches-infinity of sqrt(81x^2+x)-9x

Lösung

x \to - \infty lim (81 x^{2} + x - 9 x)

Lösung

\infty

Schritte zur Lösung

x \to - \infty lim (81 x^{2} + x - 9 x)

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

mit Einschränkung des unbestimmten Ausdrucks

= x \to - \infty lim (81 x^{2} + x) - x \to - \infty lim (9 x)

x \to - \infty lim (81 x^{2} + x) = \infty

x \to - \infty lim (9 x) = - \infty

= \infty - (- \infty)

Wende die Unendlichkeitseigenschaft an:

\infty + \infty = \infty

= \infty

Graph

Beliebte Beispiele

sum from n=0 to infinity of 9(x/7)^n

n = 0 \sum \infty 9 (\frac{x}{7})^{n}

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\frac{d}{d x} (x - 8 x)

derivative y=43x^2+(x^2)^{43}

d er i v a t i v e y = 43 x^{2} + (x^{2})^{43}

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

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\int (2 + tan^{2} (θ)) d θ