Let f(x) = x 1 , x is even 2x , x is odd − ⎧ ⎨ ⎩ x ∈ N. If for some a ∈ N, f(f(f(a))) = 21, then x a lim − → 3 | x | x a a ⎧ ⎫ ⎪ ⎪ ⎡ ⎤ − ⎨ ⎬ ⎢ ⎥ ⎣ ⎦ ⎪ ⎪ ⎩ ⎭ , where [t] denotes the greatest integer less than or equal to t, is equal to :

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Let f(x) = x 1 , x is even 2x , x is odd − ⎧ ⎨ ⎩ x ∈ N. If for some a ∈ N, f(f(f(a))) = 21, then x a lim − → 3 | x | x a a ⎧ ⎫ ⎪ ⎪ ⎡ ⎤ − ⎨ ⎬ ⎢ ⎥ ⎣ ⎦ ⎪ ⎪ ⎩ ⎭ , where [t] denotes the greatest integer less than or equal to t, is equal to :

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