Short Note:
Limit
Let y = f(x) be a function of x. If at x = a, f(x) takes indeterminate form, then we consider the values of the function which is very near to a. If these values tend to a definite unique number as x tends to a, then the unique number, so obtained is called the limit of f(x) at x = a and we write it as .
Continuity
If the graph of a function has no break or gap, then it is continuous, otherwise it is discontinuous. A function which is not continuous is called a discontinuous function.
e.g., Graph of sin x is continuous
While f(x) = 1/x is discontinuous at x=0.
Discontinuity of a Function
The function f(x) can be discontinuous at a point x = a in any one of the following ways.
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