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Limit of a function

Let f(x) be a function defined at all values in an open interval containing a, with the possible exception of a itself, and let L be a real number. If all values of the function f(x) approach the real number L as the values of x(≠a) approach the number a, then we say that the limit of f(x) as x approaches a is L. It is represented as


The limit of a function to exist at a point, the functional values must approach a single real-number value at that point. If the functional values do not approach a single value, then the limit does not exist. 

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