1.

If `[x]`and `{x}`represetnt the integral and fractional parts of `x ,`respectively, then the value of `sum_(r=1)^(2000)({x+r})/(2000)`is`x`(b) `[x]`(c) `{x}`(d) `x+2001`A. xB. [x]C. {x}D. x+2001

Answer» Correct Answer - C
`sum_(r=1)^(2000)({x+r})/(2000)=sum_(r=1)^(2000)({x})/(2000)=2000({x})/(2000)={x}.`


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