来自胡文龙的问题
【lim(x趋向0)(x-arctanx)/(x-arcsinx)=?】
lim(x趋向0)(x-arctanx)/(x-arcsinx)=?
1回答
2020-08-19 13:50
【lim(x趋向0)(x-arctanx)/(x-arcsinx)=?】
lim(x趋向0)(x-arctanx)/(x-arcsinx)=?
根据罗比达法则,分子分母同时求导lim(x趋向0)(x-arctanx)/(x-arcsinx)=lim(x趋向0)[1-1/(1+x^2)]/(1-1/根号(1-x^2))=lim(x趋向0)[x^2/(1+x^2)]/(-x^2/[(1+根号(1-x^2)(根号(1-x^2)]=-lim(x趋向0){(1+根...