摘要
不等式xln1+x/1-x+cos x≥1+1/2x2,其中-1<x<1,分别利用单调性、微分中值定理、幂级数展开等方法作了证明,给出了类似的应用实例.
An inequality of xln 1＋x/1-x＋cos x≥1＋1/2 x^2,-1〈x〈1 was proved, by monotonicity, differential meantheorem, and power series method. Then similar practical examples were given.
出处
《河南教育学院学报（自然科学版）》
2013年第1期21-23,共3页
Journal of Henan Institute of Education(Natural Science Edition)
关键词
不等式
函数单调性
微分中值定理
幂级数
inequality
monotonicity of function
differential median theorem
power series
