Question

1. [10] Find the radius of convergence and the interval of the convergence L=1(-1)k-1 (

Answer 1

Chetak, Using Ratin Tunt K=1 JI KA C 1- Ikti Tuncti UK I - y JC-E & 1 1 4 1 21 - IR = I R: (Radius of Convergence lock 1. ILUL 1. XE (-1, 1) Internal of Convergure Now we will check at the end points 1 - 1 at x = - 1. & k-1 (-15k - G ift I es Divergent from P-seines Text as P = 2 (12) Divergent O gr - 1

at x-1 coche l s alun Bongat k=1 from lebritz Test of alternative Hence the internal of Convergence XE (-1,1) & Radius of Convergence - 1. Ang