Calculadora de límite

Calcular límites paso a paso

Esta calculadora gratuita intentará encontrar el límite (bilateral o unilateral, incluidos el izquierdo y el derecho) de la función dada en el punto dado (incluido el infinito), con los pasos que se muestran.

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Solution

Your input: find $$$\lim_{x \to -5^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15}$$$

The function decreases without a bound:

$$\lim_{x \to -5^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15} = -\infty$$

Therefore,

$$\lim_{x \to -5^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15} = -\infty$$

Answer: $$$\lim_{x \to -5^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15}=-\infty$$$