In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.[1] Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. Limits: You and your friends decide to meet at some place outside. Is it necessary that all your friends are living in the same place and walk on the same road to reach that place? No, not always. All friends come from different parts of the city or country to meet at that one single place. It looks like a convergence of different elements to a single point. Mathematically, it is like a convergence of a function to a particular value. It is an example of limits. Limits show how some functions are bounded. The function tends to some value when its limit approaches some value. Suppose we have a function f(x). The value, a function attains, as the variable x approaches a particular value say a, i.e., x → a is called its limit. Here, ‘a’ is some pre-assigned value. It is denoted as limx→af(x) = l The expected value of the function shown by the points to the left of a point ‘a’ is the left-hand limit of the function at that point. It is denoted as limx→a− f(x). The points to the right of a point ‘a’ which shows the value of the function is the right-hand limit of the function at that point. It is denoted as limx→a+ f(x). Limits of functions at a point are the common and coincidence value of the left and right-hand limits. #limitinmathematics, #limits, #limitsclass11, #meaningoflimit, #limitmeaninginhindi, #whatislimitsinmaths, #limitsandderivatives, #differentiation, #calculus limits, limits meaning, limits class 11, meaning of limits in mathematics, limits and derivatives, function of limits, limits meaning in hindi, use of limits