Question: Prove Theorem 9.18 Data from in Theorem 9.18 THEOREM 9.18 Root Test 1. The series a, converges absolutely when lima 2. The series a, diverges

Prove Theorem 9.18

Data from in Theorem 9.18

THEOREM 9.18 Root Test 1. The series a, converges absolutely when lima 2. The series a, diverges when lim /a n 3. The Root Test is inconclusive when lim n0 n > 1 or lim /|a| = o. n |a|= 1.

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