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What is the value of 2∑i=0∞(9i2+1(9i2−1)2)2\displaystyle\sum_{i=0}^{\infty} \left(\frac{9i^2 +1}{(9i^2 - 1)^2}\right) 2i=0∑∞((9i2−1)29i2+1) to 3 significant figures?
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