1.
Let f(x)={x1,x is even2x,x is oddf(x) = \begin{cases} x - 1, & x \text{ is even} \\ 2x, & x \text{ is odd} \end{cases}, xNx \in \mathbb{N}. If for some aNa \in \mathbb{N}, f(f(f(a)))=21f(f(f(a))) = 21, then limxa{xa[xa]}\displaystyle \lim_{x \to a^-} \left\{ \frac{x}{a} - \left[ \frac{x}{a} \right] \right\}, where [t][t] denotes the greatest integer less than or equal to tt, is equal to: