Calculus is based, in general, on the idea of a limit. By using online limit calculator we can solve any type of problem.So,first we will discuss about basic concept of limit.In calculus we will use a symbol ε , to represent a small positive quantity,however small it may be.
Let A be a point on the number axis and A1 and A1' are taken as close to A as possible.If we now represent A by a, then A1 and A1' will be a + ε , a - ε respectively. So, we can say that x lies in (a - ε , a + ε ) and x approaches to a, (x ≠ a). Now the condition that x approaches to a (denoted by x→0) is that for any positive number ε ,however small it may be, the absolute value of ( x - a) should be less than ε. i.e 0<| x - a | < ε the value of x = a is excluded or, a - ε <>
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