早教吧 育儿知识 作业答案 考试题库 百科 知识分享

(Sinx-tanx)/4xx+tanx趋近0的极限

题目详情
(Sinx-tanx)/4xx+tanx趋近0的极限
▼优质解答
答案和解析
题目若是 lim[(sinx-tanx)/(4x^2 )+tanx ]
=lim[tanx(cosx-1)/(4x^2 )+tanx ]
=lim[(-x^2/2)*tanx/(4x^2 )+tanx ]
=lim[-tanx/8+tanx ]=0
题目若是 lim[(sinx-tanx)/(4x^2 +tanx)]
=lim[tanx(cosx-1)/(4x^2 +tanx)]
=lim[(-x^3/2)/(4x^2 +tanx)] =0
题目
若是 lim[(sinx-tanx)/(4x^2 *tanx)]
=lim[(cosx-1)/(4x^2 )]
=lim[(-x^2/2)/(4x^2 )]=-1/8.