1. **State the problem:** Find the limit of the function $5x$ as $x$ approaches 2. 2. **Recall the limit rule:** For a polynomial or linear function, the limit as $x$ approaches a value is simply the function evaluated at that value. 3. **Apply the limit:** $$\lim_{x \to 2} 5x = 5 \times 2$$ 4. **Calculate:** $$5 \times 2 = 10$$ 5. **Conclusion:** The limit of $5x$ as $x$ approaches 2 is 10.