LimitsHard

Question

, where [.] represents greatest integer function and n ∈ N, is equal to

Options

A.2n
B.2n + 1
C.2n - 1
D.does not exist

Solution

sinθ < θ < tan θ  ,   θ ∈ 


;    n ∈  N
L.H.L. = = n - 1 + n  = 2n - 1
R.H.L. = = n - 1 + n = 2n - 1
∴  L.H.L. = R.H.L = 2n - 1

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