逆用平方差公式计算:(1-1/2²)(1-1/3²)(1-1/4²)...(1-1/10&
1个回答
展开全部
(1-1/2²)(1-1/3²)(1-1/4²)...(1-1/10²)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)...(1+1/10)(1-1/10)
=(1+1/2)(1+1/3)(1+1/4)..(1+1/10)(1-1/2)(1-1/3)(1-1/4)...(1-1/10)
=3/2×4/3×5/4×...×11/10×1/2×2/3×3/4×...×9/10
=11/2×1/10
=11/20
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)...(1+1/10)(1-1/10)
=(1+1/2)(1+1/3)(1+1/4)..(1+1/10)(1-1/2)(1-1/3)(1-1/4)...(1-1/10)
=3/2×4/3×5/4×...×11/10×1/2×2/3×3/4×...×9/10
=11/2×1/10
=11/20
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询