What is RHD and LHD explain with a n example.

Here is an example,

The given function *f* is

It is known that a function *f* is differentiable at a point *x* = *c* in its domain if both

are finite and equal.

To check the differentiability of the given function at *x* = 1, consider the left hand limit of *f* at *x* = 1

Since the left and right hand limits of *f* at *x* = 1 are not equal, *f* is not differentiable at

*x* = 1

To check the differentiability of the given function at *x* = 2, consider the left hand limit

of *f* at *x* = 2

Since the left and right hand limits of *f* at *x* = 2 are not equal, *f* is not differentiable at *x* = 2

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