Example 8-4-3 - Maple Help



Chapter 8: Infinite Sequences and Series



Section 8.4: Power Series

Example 8.4.3



 Determine the radius of convergence and the interval of convergence for the power series $\sum _{n=1}^{\infty }\frac{{\left(-1\right)}^{n+1}{x}^{n}}{\sqrt[5]{n}}$.   Even though (7) in Table 8.4.1 claims that absolute convergence at one end of the interval of convergence implies absolute convergence at the other, if the convergence at an endpoint is absolute, verify that it also absolute at the other.







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