The image contains two limit problems regarding the functions $f(x)$ and $g(x)$, and we are tasked with evaluating these limits based on the graphs of these functions.

The problems are:

1. $\lim_{x \to 2} [f(x) + g(x)]$
2. $\lim_{x \to 1} [f(x) + g(x)]$

Explanation of how to approach these problems:

1. Interpretation of the given limits:

   • For both (a) and (b), the task is to find the sum of the limits of the functions $f(x)$ and $g(x)$ as $x$ approaches a certain value (2 in part (a) and 1 in part (b)).
   • Using the property of limits, $\lim_{x \to a} [f(x) + g(x)] = \lim_{x \to a} f(x) + \lim_{x \to a} g(x)$, assuming the individual limits exist.

2. Analyzing each limit:

   • For part (a), we need to find: $\lim_{x \to 2} f(x) + \lim_{x \to 2} g(x)$
   • For part (b), we need to find: $\lim_{x \to 1} f(x) + \lim_{x \to 1} g(x)$

Steps to solve:

• First, evaluate the individual limits $\lim_{x \to a} f(x)$ and $\lim_{x \to a} g(x)$ for both $a = 2$ and $a = 1$, by looking at the graphs of $f(x)$ and $g(x)$ (which were provided but are not visible in the image you uploaded).
• Once you find these individual limits, simply add them to get the required limits for each case.

Would you like to upload the graphs of $f(x)$ and $g(x)$ to proceed with solving this problem step by step? Let me know if you need further clarification!