Dr. Brajesh Kumar Jha

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    Return to Table of Content Chapter 1: Limit of the Function  The limit is the first character of any function which tells about the nature of the function. . The limit represents the value that   approaches as   gets arbitrarily close to   from both sides (left and right). Limit is the foundation of many properties of function like continuity, differentiability etc. Limits Definition  When examining a real-valued function   and a real number " ," the limit is typically expressed as follows:  "The limit of   as x approaches c equals ." The notation "lim" denotes the limit, while the arrow signifies that the function   converges to the limit   as x approaches . Properties of Limit: 1. Linearity : The limit of a sum or difference of functions is the sum or difference of their limits. Sum Rule: Example : Difference Rule: Example : 2. Product Rule : The limit of a product of functions is th...