The vertical asymptote at x = -1 in the graph of F(x) signifies unbounded behavior, leading to the absence of a finite limit. Here option B is correct.
The presence of a vertical asymptote at x = -1 in the graph of the function F(x) indicates that as x approaches -1 from either side, the function becomes unbounded, either increasing indefinitely or decreasing without bound.
This behavior prevents the existence of a finite limit at x = -1. A limit is a mathematical concept representing the value that a function approaches as the input approaches a specific point. In this case, as x gets closer to -1, F(x) does not converge to a single, finite value, but instead diverges towards positive or negative infinity.
The correct conclusion is that the limit does not exist at x = -1. This outcome aligns with the definition of a limit, which requires the function to approach a well-defined value as the input approaches a particular point. Therefore, option B, stating that the limit does not exist, accurately characterizes the behavior of F(x) near x = -1 based on the graph. Here option B is correct.