Set, Relation and FunctionHard
Question
If f(x) = 
(where [.] and {.} represent greatest integer and fractional part function respectively), then -
(where [.] and {.} represent greatest integer and fractional part function respectively), then -Options
A.
f(x) = 0.
f(x) = 0.B.f(x) is continuous at x = 1.
C.f(x) is not differentiable at x = 1.
D.
f(x) does not exist.
f(x) does not exist.Solution
[x]2 + 
= 0 + 0 = 0R.H.D. =
L.H.D.
∵ LHD ≠ R.H.D. ⇒ f(x) is not diff. at x = 1 but continuous at x = 1.
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