1. **Problem statement:** Find the limit $$\lim_{x \to 1} [f(x) + g(x)]$$ given the graphs of $$f$$ and $$g$$. 2. **Recall the limit sum rule:** $$\lim_{x \to a} [f(x) + g(x)] = \lim_{x \to a} f(x) + \lim_{x \to a} g(x)$$ if both limits exist. 3. **From the graph at $$x=1$$:** - $$f(1) \approx 1$$ (blue graph peak near 1) - $$g(1) \approx 2$$ (red graph near 2) 4. **Calculate the sum:** $$\lim_{x \to 1} [f(x) + g(x)] = 1 + 2 = 3$$ **Final answer:** $$3$$