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Prove: [x]+[x+1/n].......[x+n-1/n]=[nx] where[x] is greatest integer function

Prove: [x]+[x+1/n].......[x+n-1/n]=[nx] where[x] is greatest integer function

Grade:11

1 Answers

Nandana
110 Points
4 years ago
by looking the series , we can see that the’ n ‘ part of nth  term will be cancelled by 2nd term’s ‘n’ part , 3rd  term’s ‘n’ part cancelled by (n-1)th  term’s and so  on …
     finally we left with x’s of n terms , so n(x) will be the answer .

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