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Beliebt Rechnen >

limit as x approaches-6+of (x+7)/(x+6)

Lösung

x \to - 6 + lim (\frac{x + 7}{x + 6})

Lösung

\infty

Schritte zur Lösung

x \to - 6 + lim (\frac{x + 7}{x + 6})

\frac{x + 7}{x + 6} = (x + 7) \frac{1}{x + 6}

= x \to - 6 + lim ((x + 7) \frac{1}{x + 6})

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 - 6 + lim (x + 7) \cdot x \to - 6 + lim (\frac{1}{x + 6})

x \to - 6 + lim (x + 7) = 1

x \to - 6 + lim (\frac{1}{x + 6}) = \infty

= 1 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

Graph

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