Question: Determine whether there exists an injective function f : N-N satisfying E=1 f(k)/(1 k+ k) converges or not. Provide a proof.

Determine whether there exists an injective function f : N-N satisfying E=1

Determine whether there exists an injective function f : N-N satisfying E=1 f(k)/(1 k+ k) converges or not. Provide a proof.

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