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Range of `f(x) = [1 + sin x] + [2 + sin fracx2] + [3 + sin frac x3] +.....+ [n + sin frac xn]`
AA x in [0, pi]` (where [.] denotes the greatest integer function).

A

`{(n^2 + n - 2)/2, (n(n + 1))/2}`

B

`{(n(n + 1))/2}`

C

`{(n^2 + n - 2)/2, (n(n + 1))/2,(n^2 + n + 2)/2}`

D

`(n(n + 1))/2,(n^2 + n + 2)/2}`

Text Solution

Verified by Experts

The correct Answer is:
D
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PATHFINDER-FUNCTION-QUESTION BANK
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