求极限:x[In(x+1)-Inx] x趋于正无穷

问题描述:

求极限:x[In(x+1)-Inx] x趋于正无穷
答案1

x[In(x+1)-Inx]
=x(ln(1+x)/x)
=x/ln(1+1/x) ln(1+1/x)~1/x
=x*1/x
=1