Question: Suppose that [ak] is a sequence of nonzero real numbers and that exists as an extended real number. Prove that k=1 ak converges absolutely when

Suppose that [ak] is a sequence of nonzero real numbers and that
ak+1 (1- p= lim k (1- ak

exists as an extended real number. Prove that ˆ‘ˆžk=1 ak converges absolutely when p > 1.

ak+1 (1- p= lim k (1- ak

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