What Are Limits?
The expression
means that f(x) can be as close to L as desired by making x sufficiently close to ‘C’. In such a case, we say that the limit of f, as x approaches to C, is L.
The neighbourhood of a point:
Let ‘a’ be real number and ‘h; is very close to ‘O’, then
The left-hand limit will be obtained when x = a – h or x -> a–
Similarly, the right-hand limit will be obtained when x = a + h or x -> a+