Question

Where [x] denotes the greatest integer less than or equal to x, then  equals

Solution

Correct option is

As x → 0 – (i.e., approaches 0 from the left), [x] = –1. 

Whereas, if x → 0 +, we get [x] = 0. 

Thus  does not exist.

SIMILAR QUESTIONS

Q2
Q4

f (x) = [sin x] where [.] denotes the greatest integer function is continuous at

Q7

If [x] denotes the greatest integer less than or equal to x then