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Power Serieshard
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If ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n∑n=0∞​an​xn converges to f(x)=x1−x−x2f(x) = \frac{x}{1-x-x^2}f(x)=1−x−x2x​ for ∣x∣<5−12|x| < \frac{\sqrt{5}-1}{2}∣x∣<25​−1​, find a4a_4a4​.