Q. 205.0( 1 Vote )

Choose the correct answer.The function where [.] denotes the greatest integer function, isA. continuous as well as differentiable for all xϵRB. continuous for all x but not differentiable at some xC. differentiable for all x but not continuous at some x.D. none of these

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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