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If the function f(x) = [(x-2)3/a] sin(x-2) + a cos(x-2)  , [∙] denotes greatest integer function, is continuous & differentiable in (4,6) then find ‘a’ range?

(A) a ϵ (-∞,∞)

(B) a ϵ [64, ∞)

(C) a ϵ [128, ∞)

(D) Not defined
 

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