limit as x approaches-3 of (x^3+5x^2-3x-9)/(x^3+7x^2+15x+9)

Lösung

x \to - 3 lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9})

- \infty

Schritte zur Lösung

x \to - 3 lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9})

Wenn

x \to a - lim f (x) = x \to a + lim f (x) = L

dann

x \to a lim f (x) = L

x \to - 3 - lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9}) = - \infty

x \to - 3 + lim (\frac{x ^{3} + 5 x ^{2} - 3 x - 9}{x ^{3} + 7 x ^{2} + 15 x + 9}) = - \infty

= - \infty

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