It seems that the uploaded file is not displaying correctly, preventing me from viewing the graph directly. Could you please try uploading a clear image of the graph, or describe it briefly? This will help me analyze the function and determine the left-hand limit as $x \to 4^{-}$.

Let me know if you need further assistance with this or if you have any other questions! Here are some related questions that might be helpful:

1. How do you find limits from a graph?
2. What does the notation $\lim_{x \to c^{-}} f(x)$ represent?
3. How can you determine if a limit exists at a certain point?
4. What does it mean when a limit approaches from the left?
5. How do discontinuities affect limits?

Tip: When analyzing graphs for limits, pay close attention to the function's behavior as it approaches the point of interest from either side.