x趋向于正无穷时,ln(1+exp(x))-x的极限

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/18 06:03:28
x趋向于正无穷时,ln(1+exp(x))-x的极限x趋向于正无穷时,ln(1+exp(x))-x的极限x趋向于正无穷时,ln(1+exp(x))-x的极限x=ln(exp(x))ln(1+exp(x

x趋向于正无穷时,ln(1+exp(x))-x的极限
x趋向于正无穷时,ln(1+exp(x))-x的极限

x趋向于正无穷时,ln(1+exp(x))-x的极限
x=ln(exp(x))
ln(1+exp(x))-x
=ln(1+exp(x))-ln(exp(x))
=ln([1+exp(x)]/exp(x))
=ln(1+exp(-x))
取极限
=ln(1+0)
=ln1
=0