|
Limit Calculator
Calculate limits step by step
This free calculator will try to find the limit (two-sided or one-sided, including left and right) of the given function at the given point (including infinity), with steps shown.
Solution
Your input: find $$$\lim_{x \to -3^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15}$$$
The function grows without a bound:
$$\lim_{x \to -3^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15} = \infty$$
Therefore,
$$\lim_{x \to -3^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15} = \infty$$
Answer: $$$\lim_{x \to -3^\mathtt{\text{+}}} \frac{2 x^{3} + 15 x^{2} + 22 x - 11}{x^{2} + 8 x + 15}=\infty$$$