Let-k-be-non-negative-real-numbers-and-n-N-1-Prove-that-4-k-4-k-12-k-12-k-2n-n-1-k-2n-n-1-k-n-k-1-n-1-k-1-

Question Number 142710 by loveineq last updated on 04/Jun/21

Let k be non - negative real numbers and n \in N^{+} ⩾ 1 .

Prove that

(\frac{4 - k}{4 + k}) (\frac{12 - k}{12 + k}) \dots [\frac{2 n (n + 1) - k}{2 n (n + 1) + k}] ⩽ \frac{n + k + 1}{(n + 1) (k + 1)}

Answered by loveineq last updated on 06/Jun/21

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