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Beliebt Rechnen >

limit as x approaches-3 of ((x^2+7x+12))/(x^2-9)

Lösung

x \to - 3 lim (\frac{( x ^{2} + 7 x + 12 )}{x ^{2} - 9})

Lösung

- \frac{1}{6}

+1

Dezimale

- 0.16666 \dots

Schritte zur Lösung

x \to - 3 lim (\frac{x ^{2} + 7 x + 12}{x ^{2} - 9})

Vereinfache

\frac{x ^{2} + 7 x + 12}{x ^{2} - 9} : \frac{x + 4}{x - 3}

= x \to - 3 lim (\frac{x + 4}{x - 3})

Setze den Wert

x = - 3

ein

= \frac{- 3 + 4}{- 3 - 3}

Vereinfache

= - \frac{1}{6}

Graph

Beliebte Beispiele

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

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

integral of 4cos(6x)

\int 4 cos (6 x) d x

integral of-(3x)/2

\int - \frac{3 x}{2} d x

integral of 2/(x^3+x)

\int \frac{2}{x ^{3} + x} d x

integral from 0 to 2 of sqrt(4-x^2)

\int_{0}^{2} 4 - x^{2} d x