A method for monitoring cursor motion between multiple monitors that together form an extended display. The cursor's location and speed are tracked. When it is detected that the cursor has intersected a display edge, the cursor is permitted to transit to the next display only if the cursor speed is above a threshold value. Otherwise the cursor is constrained within the monitor where it is located. This makes it easier for a user to actuate buttons and icons that are located near screen edges. Moreover, if the cursor is predicted to be transiting into a display area where there is no additional monitor, then the stored physical location of the additional monitor's display area is displaced so that it lies in the predicted path of the cursor. Manual configuration of the relative physical locations of monitors is therefore unnecessary as the computer learns this automatically from user-driven cursor movements.