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