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if {x} and [x] represent fractional and intergral part of x , then find the value of [x]+ 2000∑ r=1 {x+r}/2000

if {x} and [x] represent fractional and intergral part of x , then find the value of


[x]+ 2000∑r=1{x+r}/2000

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1 Answers

askiitian.expert- chandra sekhar
10 Points
12 years ago

Hi anurag,

[x]+ 2000∑r=1{x+r}/2000

since {1+x}={x}

{2+x}={x}

{3+x}={x}

.

.

.

.

{r+x}={x}

 the equation becomes,[x]+{x}×2000/2000 =[x] + {x} =x


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