求limX[ln(X+1)-ln(X-1)];当X趋近无穷时
问题描述:
求limX[ln(X+1)-ln(X-1)];当X趋近无穷时
答
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
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