THE GATEBOOK

Normalization Lectures

If

Where denotes the greatest integer less than or equal to x. Then equals?

(A). 1

(B). 0

(C). -1

(D). None of these

Limit does not exist.

Right limit :

i.e.

So, , Hence, right limit = 1; (because )

Left limit :

So, , Hence, left limit = 1; (because )

and

Hence, Left limit Not same as right limit, hence, at x = 0, limit does not exist.