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Problem 5. Find the radius and interval of convergence for the series ∑ n = 0 ∞ ( 5 n x n ) \sum_{n=0}^{\infty}\left(5^{n} x^{n}\right) ∑ n = 0 ∞ ( 5 n x n ) 1 5 ( − 1 5 , 1 5 ) \frac{1}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) 5 1 ( − 5 1 , 5 1 ) 1 5 ( 0 , 1 5 ) \frac{1}{5} \quad\left(0, \frac{1}{5}\right) 5 1 ( 0 , 5 1 ) 2 5 ( − 1 5 , 1 5 ) \frac{2}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) 5 2 ( − 5 1 , 5 1 ) 2 5 ( 0 , 1 5 ) \frac{2}{5} \quad\left(0, \frac{1}{5}\right) 5 2 ( 0 , 5 1 ) 1 5 ( − 1 5 , 1 5 ) \frac{1}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) 5 1 ( − 5 1 , 5 1 ) 1 5 ( 0 , 1 5 ) \frac{1}{5} \quad\left(0, \frac{1}{5}\right) 5 1 ( 0 , 5 1 ) 2 5 ( − 1 5 , 1 5 ) \frac{2}{5} \quad\left(-\frac{1}{5}, \frac{1}{5}\right) 5 2 ( − 5 1 , 5 1 ) 2 5 ( 0 , 1 5 ) \frac{2}{5} \quad\left(0, \frac{1}{5}\right) 5 2 ( 0 , 5 1 ) Browse the problem library