Exploring A Cool Identity With The Digamma Function

Exploring A Cool Identity With The Digamma Function reveals several interesting facts.

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Sum from n = 0 to infinity of (-1)^n/(a+bn) using the SS-564 Prove that sum_(k = 2 to ∞) (-1)^k(ζ(k) - 1)(3/2)^k = 31/10 -3 ln 2 #sequences_and_series #riemannzetafunction ... The proof at the end is from: ... SS-565 Prove that sum_(k = 2 to ∞) (ζ(k) - 1)(3/2)^k =3/2 + 3ln 2 #sequences_and_series #riemannzetafunction #

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