Q. 205.0( 1 Vote )

# Choose the correct answer.

The function where [.] denotes the greatest integer function, is

A. continuous as well as differentiable for all xϵR

B. continuous for all x but not differentiable at some x

C. differentiable for all x but not continuous at some x.

D. none of these

Answer :

Given that

∵ We know that π (x - π ) = nπ and sin nπ = 0

So,

⇒ f(x) = 0 for all x

Thus f(x) is a constant function and continuous as well as differentiable for all xϵR

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