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Beliebt Rechnen >

limit as x approaches 2-of (x^2+4)/(x-2)

Lösung

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

Lösung

- \infty

Schritte zur Lösung

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

\frac{x ^{2} + 4}{x - 2} = (x^{2} + 4) \frac{1}{x - 2}

= x \to 2 - lim ((x^{2} + 4) \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} + 4) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (x^{2} + 4) = 8

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

= 8 (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

Graph

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\int 4 x e^{x} d x

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