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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