LimitsHard
Question
If f(x) =
, where {.} represents the fractional part function, then
, 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 =
f(x) exists, but f is not continuous at x = C.f(x) does not exist.
f(x) does not exist.D.f(x) = 1
f(x) = 1Solution
∵ R.H.L = 
∵ L.H.L =
= 1 × - 1 = - 1
∴ L.H.L ≠ R.H.L
∵ L.H.L =
= 1 × - 1 = - 1∴ L.H.L ≠ R.H.L
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