Question

Find the series' radius of convergence. Σ (x-8)" nøgn n=0 O A. 9 O B. 18 C. 00, for all x OD. O

Answer 1

Find the series radius of convergence M8 (3-895 ho ngh let an= (x-8)? no gh Apply the Ratio fest for convergence : um h too anitk1 an n. (X-83h+13 (2-82 » lim ho n+15. ginti) <1 659h lim nio <L 12-8) (1+0)5.9 -> <i 1(2-0) (4+05.9

> | X-01 < 9 11 -92K-29 (-9+0) < x < 9+8 > - 1<x< 17 - The interior set for interval of convergence ie (-1, 17) how. The radily radily of convergence = 17-(-1) 2 s 18 18 2 > Radius of convergence =19 Ophion (A) is correct.
$Answer=9$