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《College Mathematics》 2018-04
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The Monotony of One Interesting Sequence

YANG Tian-hu;QIN Tian-xiang;YUE Zhi-ming;New Energy Engineering Department,Jiuquan Vocational and Technical College;Key Laboratory of the Solar Power System Engineering,Gansu Province(Jiuquan Vocational and Technical College);  
By using inequality (π4(n-1)/2n 4(n+))~(1/2)1∫_0~(π/2)sin~nxdx(π(4n+5)/2 (n+1)(4n+3))~(1/2) for interesting sequence {(n+c)~(1/2)∫_0~(π/2)sin~nxdx} monotonicity are analyzed argument again,and the existing conclusion is improved.
【Fund】: 甘肃省科技创新平台专项资助(1505JTCF039);; 甘肃省科技计划项目(1309RTSF043)
【CateGory Index】: O172
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