$\large f(x) = \sum_{n=0}^{\infty} F_{n}x^{n}$

Define $f(x)$ as the series above with $F_{n}$ as the Fibonacci sequence with $F_{0} = 0, F_{1}=1$. Calculate $f(\frac{1}{2})$!

If you think the answer diverges, submit your answer as -1000.

**Bonus**: Can you generalize the formula $\large \displaystyle f(x) = \sum_{n=0}^{\infty} a_{n}x^{n}$, which the sequence $a_{n+2} = a_{n+1} + a_{n}, a_0 = p, a_1 = q$? And what is the limit/boundaries of the generalization?

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