化简(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 17:00:54
化简(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)

化简(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)
化简(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)

化简(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)
(2-√2/1*2)+(3√2-2√3/2*3)+(4√3-3√4/3*4)+...+(100√99-99√100/99*100)
=1-1/2√2+1/2√-1/3√3+1/3√3-1/4√4+.+1/99√99-1/100√100
=1-1/100√100
=1-1/10
=9/10