Definite IntegrationHard

Question

The expression , where [x] and {x} are integral and fractional parts of x and n ∈ N, is equal to :

Options

A.1/n-1
B.1/n
C.n
D.n - 1

Solution


= 1 + 2 + 3 + ....+ (n - 1) =    ...... (i)

∴   = (n - 1)   = (n - 1)

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