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If [x] and {x} represent integral and fr...

If `[x]` and `{x}` represent integral and fractional part of `x` then the function defined by `f(x)=[x]+sum_(r=1)^(1000)({x+r})/(1000)` is equal to
(A) `2[x]+{x}`
(B) `4x`
(C) `x`
(D) `4[x]+1000{x}`

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