Understanding limit notation. Let us recall some pre calculus. We need to convert these old methods of explaining extreme behaviors into limit notations for use in calculus. Use the graph to complete the table below. y = f (x) Pre-Calculus Notation vs. Calculus Notation As x - -co , the graph of f (x) - As x - co , the graph of f (x) - mil As x - -3 from the right, the graph As x - 3 from the left, the graph of f ( x ) - - of f (x ) -_ As x - -3 from the left, the graph of As x - 3 from the right, the graph of f ( x ) -_ f ( x) -_ Can you explain what the value of a limit represents in terms of the graph? ormally, a limit is a y-value which a function approaches as x approaches some f(x) = L means as x approaches c, f (x) approaches the y-value of L