The inequality $sum_{k=1}^n frac{1}{k^4} le 2 - frac{1}{sqrt n}$
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Prove that for every $n$ we have $$sum_{k=1}^n frac{1}{k^4} le 2 - dfrac{1}{sqrt{n}}$$ I've tried induction, but I ended up with polynomials of high degree.
inequality summation
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edited Nov 16 at 12:29
asked Nov 16 at 11:29
J. Abraham
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