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LIMITS, CONTINUITY AND DIFFERENTIABILITY

Sujoy Das
11/08/2025 0 0

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+

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