求limX[ln(X+1)-ln(X-1)];当X趋近无穷时

来源:学生作业帮助网 编辑:六六作业网 时间:2024/04/29 21:40:11
求limX[ln(X+1)-ln(X-1)];当X趋近无穷时求limX[ln(X+1)-ln(X-1)];当X趋近无穷时求limX[ln(X+1)-ln(X-1)];当X趋近无穷时ln(x+1)-ln

求limX[ln(X+1)-ln(X-1)];当X趋近无穷时
求limX[ln(X+1)-ln(X-1)];当X趋近无穷时

求limX[ln(X+1)-ln(X-1)];当X趋近无穷时
ln(x+1)-ln(x-1)=ln(x+1)/(x-1)=ln[1+2/(x-1)] 当x趋于无穷时,2/(x-1)趋于0 所以ln(x+1)/(x-1)=ln[1+2/(x-1)]趋于ln1=0