1. **State the problem:** Find the limit $$\lim_{x \to +\infty} |x| \times \sqrt{x} - 2$$. 2. **Understand the expression:** Since $x \to +\infty$, $|x| = x$ because $x$ is positive. 3. **Rewrite the expression:** The expression becomes $$x \times \sqrt{x} - 2 = x \times x^{\frac{1}{2}} - 2 = x^{1 + \frac{1}{2}} - 2 = x^{\frac{3}{2}} - 2$$. 4. **Evaluate the limit:** As $x \to +\infty$, $x^{\frac{3}{2}}$ grows without bound (goes to infinity), so $$\lim_{x \to +\infty} x^{\frac{3}{2}} - 2 = +\infty$$. 5. **Conclusion:** The limit diverges to infinity. **Final answer:** $$\lim_{x \to +\infty} |x| \times \sqrt{x} - 2 = +\infty$$.