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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2}{3}

+1

Dezimale

0.66666 \dots

Schritte zur Lösung

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

Vereinfache

\frac{x ^{2} - 2 x - 3}{x ^{2} - 9} : \frac{x + 1}{x + 3}

= x \to 3 lim (\frac{x + 1}{x + 3})

Setze den Wert

x = 3

ein

= \frac{3 + 1}{3 + 3}

Vereinfache

\frac{3 + 1}{3 + 3} : \frac{2}{3}

= \frac{2}{3}

Graph

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