Can someone help me understand what I am missing? I was told to Give each interval of convergence as an interval not describe it using inequalities. Also give the radius of convergence in 8.6#2. I guess I am not understanding the assignment. Cam someone point me in the right direction?

Use ratio test to compute interval If there exists an N so that for all n 2 N, a, # lim ent! EL If L 1, then Za,, diverges If L = 1, then Z a, then the test is inconclusive [n+1)+1 an + 1 (-1)n+1 (2( n+1) + 1)! (-1)n xin+1 (2n + 1)1 (-1)n+1 x2(a+1)+1 L = lim = (2(n + 1) + 1)! (-1)n (2n + 1)! (-1)n+1_ x [a+1)+1 (2(n+1)+1)! = (-1)mazatl (2n + 1)! (-1 )ntly2n+3 (2n + 3)! = (-1 )MY2+1 (2n + 1)! xin+3(-1)n+ (2n + 1)! - (2n + 3)!xin+(-1)n (-1)x-(2n + 1)! (2n + 3)! = - (2n + 3) (2n + 2) L = lim (2n + 3) (2n + 2), =0 L