Limiting the Inverse Binomial Sum

Calculus Level 5

If $\text{S}(n) = \displaystyle \sum_{r=0}^n \left( \dfrac{1}{\dbinom{n}{r}} \right)$

Evaluate $\displaystyle\lim_{n \to \infty} \text{S}(n)$

Give your answer to 1 decimal place.