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Beliebt Rechnen >

limit as x approaches 3 of ((x^2-9))/(2x-6)

Lösung

x \to 3 lim (\frac{( x ^{2} - 9 )}{2 x - 6})

Lösung

3

Schritte zur Lösung

x \to 3 lim (\frac{x ^{2} - 9}{2 x - 6})

Vereinfache

\frac{x ^{2} - 9}{2 x - 6} : \frac{1}{2} (x + 3)

= x \to 3 lim (\frac{1}{2} (x + 3))

Setze den Wert

x = 3

ein

= \frac{1}{2} (3 + 3)

Vereinfache

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

= 3

Graph

Beliebte Beispiele

limit as x approaches infinity of (2^x)/(3^{x-1)}

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

integral of sqrt(2-x)

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\frac{d}{d x} (cos (\frac{π}{2} x))

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\int_{- π}^{0} x d x

integral of 2e^{x^2}

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