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Beliebt Rechnen >

limit as x approaches 3-of (x-2)/(x^2-9)

Lösung

x \to 3 - lim (\frac{x - 2}{x ^{2} - 9})

Lösung

- \infty

Schritte zur Lösung

x \to 3 - lim (\frac{x - 2}{x ^{2} - 9})

\frac{x - 2}{x ^{2} - 9} = (x - 2) \frac{1}{x ^{2} - 9}

= x \to 3 - lim ((x - 2) \frac{1}{x ^{2} - 9})

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 3 - lim (x - 2) \cdot x \to 3 - lim (\frac{1}{x ^{2} - 9})

x \to 3 - lim (x - 2) = 1

x \to 3 - lim (\frac{1}{x ^{2} - 9}) = - \infty

= 1 \cdot (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

Graph

Beliebte Beispiele

derivative of arccsc(-3x)

\frac{d}{d x} (arccsc (- 3 x))

derivative of arctan(t/x)

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derivative of (2x-4/(3e^x))

\frac{d}{d x} (\frac{2 x - 4}{3 e ^{x}})

limit as x approaches 3 of 1/((x^2-9))

x \to 3 lim (\frac{1}{( x ^{2} - 9 )})

integral of 2xe^{-2x^2}

\int 2 x e^{- 2 x^{2}} d x