Physical significance of € and δ in the €-δ definition of continuity of a function

The €-δ definition of continuity of a function is theoretically taught in classroom but generally the teachers fail to clarify the concept & subject matter in real world situation. In this paper we have made an attempt to explore the physical significance of € & δ occurring in the definition to make it more clear and understandable. On the basis of graphical study and explaining the meaning of definition through practical situation the concept is made self explanatory. Even the layman can understand the meaning and concept easily.