Consider the series ∑n=0∞(x2−13)n\sum_{n=0}^{\infty} (\frac{x^2-1}{3})^n∑n=0∞(3x2−1)n. Find the interval of convergence.
(−2,2)(-2, 2)(−2,2)
(−2,2)(-\sqrt{2}, \sqrt{2})(−2,2)
(−2,−1)∪(1,2)(-2, -1) \cup (1, 2)(−2,−1)∪(1,2)
(−2,2)(-2, 2)(−2,2) excluding 000