# 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.

Neighbourhood of a point:

Let ‘a’ be real number and ‘h; is very close to ‘O’ then

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 approaches when the variable approaches its limit from the left.

This can be written as

\lim_{x\rightarrow a}lim f(x) = A–
x→a