Find the radius of convergence and interval of convergence of the following series.

Question

Answer 1

When x = 3, the series is essentially the alternating sign harmonic series, so it converges conditionally.

When x = 5 , the series is essentially the harmonic series, so it diverges. From this, it can be concluded that her interval of convergence is [3, 5) . The radius of convergence is 1 ( based around x = 4)