Limiting the Inverse Binomial Sum

Calculus Level 4

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.

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