LimitsHard

Question

If f(x) =, where {.} represents the fractional part function, then  

Options

A.f(x) is continuous at x =
B.f(x) exists, but f is not continuous at  x =
C.f(x) does not exist.
D.f(x) = 1

Solution

∵  R.H.L =
∵  L.H.L =
= 1 × - 1 = - 1
∴  L.H.L ≠ R.H.L

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