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