Continuity and DifferentiabilityHard
Question
Let [x] be the greatest integer function f(x) = 
is -
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.
; 1 ≤ x < 2=
; 2 ≤ x < 3Hence f(x) is continuous at
, differentiable at & discontinuous at 2.Create a free account to view solution
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