# Define left-hand limit

Solution:

### Limit

The expression $$\underset{x\to c}{\mathop{\lim }}\,\,f(x)=L$$ 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 a 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, Right-Hand limit will be obtained when x = a + h or x -> a+

### Left-hand limit

The left-hand limit of a function is the value of the function that approaches when the variable approaches its limit from the left.

This can be written as

$$\lim_{x\rightarrow a}$$f(x) = A