LimitsHard

Question

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

Options

A.f(x) is a discontinuous function
B.f(x) is an even function
C.f(x) is continuous but non-differentiable function
D.f(x) is not defined for all real numbers

Solution

As 0 < {ex} < 1
∴  = - 1  ⇒  f(x) = - 1 ∀ x ∈ R

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