lim(t→0）tlnt等于多少? 它是属于0乘以负无穷呢还是无穷小乘以负无穷啊?
2019-06-02
lim(t→0）tlnt等于多少? 它是属于0乘以负无穷呢还是无穷小乘以负无穷啊?
优质解答
0*∞
极限是0
lim(t→0）tlnt
=lim(x→+∞）ln(1/x)/x
=lim(x→+∞）-lnx/x (∞/∞)
=lim(x→+∞）-1/x
=0
0*∞
极限是0
lim(t→0）tlnt
=lim(x→+∞）ln(1/x)/x
=lim(x→+∞）-lnx/x (∞/∞)
=lim(x→+∞）-1/x
=0