Continuity and DifferentiabilityHard

Question

Let [x] be the greatest integer function f(x) = is -

Options

A.not continuous at any point
B.continuous at 3/2
C.discontinuous at 2
D.differentiable at 4/3

Solution

f(x) =      ;  1 ≤ x < 2
=     ;    2 ≤ x < 3
Hence f(x) is continuous at , differentiable at & discontinuous at 2.

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