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(Solved): Find the interval of convergence of the power series: 1) \[ \sum_{n=0}^{\infty} \frac{n^{2} x^{3 n ...
Find the interval of convergence of the power series: 1) \[ \sum_{n=0}^{\infty} \frac{n^{2} x^{3 n}}{n^{3}+1} \] 2) \[ \sum_{n=0}^{\infty} \frac{(2 x+8)^{n}}{3^{n}} \] 3) \[ \sum_{n=0}^{\infty} \frac{(x-4)^{n}}{n !} \]
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