Prove that $\displaystyle \displaytsyle \frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+.......+ \frac{1}{2n}> \frac{13}{24}\forall n\geq 2$

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- Jan 15th 2012, 10:59 AMjackscombinotrial inequality
Prove that $\displaystyle \displaytsyle \frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+.......+ \frac{1}{2n}> \frac{13}{24}\forall n\geq 2$

- Jan 15th 2012, 11:09 AMILikeSerenaRe: combinotrial inequality