1.

If f(x) = ({x}g(x))/({x}g(x)) is a periodic function with period (1)/(4), where g(x) is differentiable function, then (where {.} denotes fractional part of x).

Answer»

g'(x) has exactly THREE roots in `((1)/(4),(5)/(4))`
g(x) = 0 at `x = (K)/(4)`, where `k in I`
g(x) must be non-zero function
g(x) must be periodic function

ANSWER :B


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