Question: top-center: A tilted black rounded rectangle contains the expression $$\lim_{x \to 0} (3x^2 + 7)$$ on the first line and "= ?" on the second line.
bottom-left: A green rounded button labeled "Contek".
bottom-center: An orange rounded button labeled "Ganti".
1. **State the problem:** We need to find the limit $$\lim_{x \to 0} (3x^2 + 7)$$.
2. **Recall the limit rule:** The limit of a sum is the sum of the limits, and the limit of a constant times a function is the constant times the limit of the function.
3. **Apply the limit:**
$$\lim_{x \to 0} (3x^2 + 7) = \lim_{x \to 0} 3x^2 + \lim_{x \to 0} 7$$
4. **Evaluate each limit:**
- $$\lim_{x \to 0} 3x^2 = 3 \times \lim_{x \to 0} x^2 = 3 \times 0^2 = 0$$
- $$\lim_{x \to 0} 7 = 7$$
5. **Sum the results:**
$$0 + 7 = 7$$
**Final answer:**
$$\lim_{x \to 0} (3x^2 + 7) = 7$$