If {x} and [x] represent fractional and ...

If `{x}` and `[x]` represent fractional and integral part of x respectively, find the value of `[x]+sum_(r=1)^(2000)({x+r})/2000`

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The correct Answer is:

`[x]+sum_(r=1)^(2000)({x+r})/(2000)`=x

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