摘要
三角不等式是一种常见类型的不等式,通常包含sinx,tanx等无穷小(当x→0时),以及两个无穷小之比.本文提出两个无穷小之比单调性判别法,判别某些函数的单调性以及证明一些三角不等式.
The triangle inequality is a common type of inequality,usually contains infinitesimal,such as sinx,tanx( x→0),and the ratio of two infinitely small quantities. A distinction law of the monotony of the ratio of two infinitely small quantities is proposed to determine the monotonicity of certain functions and prove certain triangle inequalities.
出处
《洛阳师范学院学报》
2015年第2期31-33,共3页
Journal of Luoyang Normal University
基金
南通职业大学高等教育教改研究青年专项课题(2013-QN-02)
关键词
单调性
无穷小
三角不等式
monotonicity
infinitely small
triangle inequality