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Where [x] Denotes The Greatest Integer Less Than Or Equal To x, Then  equals

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Question

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