limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25)

Lösung

x \to - 5 lim (\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25})

\frac{7}{5}

Dezimale

1.4

Schritte zur Lösung

x \to - 5 lim (\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25})

Vereinfache

\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25} : \frac{x - 2}{2 x + 5}

= x \to - 5 lim (\frac{x - 2}{2 x + 5})

Setze den Wert

x = - 5

ein

= \frac{- 5 - 2}{2 ( - 5 ) + 5}

Vereinfache

\frac{- 5 - 2}{2 ( - 5 ) + 5} : \frac{7}{5}

= \frac{7}{5}

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