# The answer is not 1

Calculus Level 4

If $$\displaystyle \frac{x}{1-x-x^2}$$ can be expressed in the form $$\displaystyle \sum_{n=1}^\infty a_n x^n$$ for a certain subset of reals such that $$\displaystyle a_i \in \mathbb{R}$$ and $$\forall i \in \mathbb{N} ,$$ what is the value of $$\displaystyle{\lim_{n \to \infty} \frac{a_{n+1}}{a_n}}?$$

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