Let `|Z_(r) - r| le r`, for all `r = 1,2,3….,n`. Then `|sum_(r=1)^(n)z_(r)|` is less thanA. nB. 2nC. n(n+1)D. `(n(n+1))/(2)`

Let `|Z_(r) - r| le r`, for all `r = 1,2,3….,n`. Then `|sum_(r=1)^(n

1.	Let `\|Z_(r) - r\| le r`, for all `r = 1,2,3….,n`. Then `\|sum_(r=1)^(n)z_(r)\|` is less thanA. nB. 2nC. n(n+1)D. `(n(n+1))/(2)`
Answer» Correct Answer - C `\|sum_(r=1)^(n)z_(r)\|lesum_(r=1)^(n)\|z_(r)\|lesum_(r=1)^(n)\|z_(r)-r\|+sum_(r=1)^(n)rle2sum_(r=1)^(n)r`

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Let `|Z_(r) - r| le r`, for all `r = 1,2,3….,n`. Then `|sum_(r=1)^(n)z_(r)|` is less thanA. nB. 2nC. n(n+1)D. `(n(n+1))/(2)`

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