Combinatorial limit

Calculus Level 4

\[\Large {\lim_{n \to \infty}}{\dfrac{\displaystyle{\large\displaystyle \sum^{n}_{k=0}\dbinom{n}{k}}}{\large\displaystyle \sum^{\lfloor n/3\rfloor}_{k=0}\dbinom{n}{3k}}} = ?\]

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