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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