Questions: Find lim as x approaches a of f(x) if it exists.

Solution Steps

We need to find the limit of the function $f(x)$ as $x$ approaches $a$. The graph of the function is provided, and we need to determine the value of the limit if it exists.

Examine the behavior of the function $f(x)$ as $x$ approaches $a$ from both the left and the right. The graph shows that as $x$ approaches $a$ from both sides, the function value approaches $b$.

Since the function $f(x)$ approaches the same value $b$ from both the left and the right as $x$ approaches $a$, the limit exists and is equal to $b$.

Final Answer