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Beliebt Rechnen >

limit as x approaches-2+of (x^2)/(x+2)

Lösung

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

Lösung

\infty

Schritte zur Lösung

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

\frac{x ^{2}}{x + 2} = x^{2} \frac{1}{x + 2}

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

x \to - 2 + lim (x^{2}) = 4

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

= 4 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

Graph

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