Question: Suppose that ak > 0 and that ak1/k as k . Prove that k=1 akxk converges absolutely for all |x| < 1/a if

Suppose that ak > 0 and that ak1/k → as k → ∞. Prove that ∑∞k=1 akxk converges absolutely for all |x| < 1/a if a ≠ 0 and for all x ∈ R if a = 0.

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