lim(x->0)(cosx) ^[(cotx) ^2]

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 18:24:40
lim(x->0)(cosx) ^[(cotx) ^2]
x)ըе3xS#9BS!t$TkTOR;Z Rj TҌ3%a 5ġD~E&$ف| 

lim(x->0)(cosx) ^[(cotx) ^2]
lim(x->0)(cosx) ^[(cotx) ^2]

lim(x->0)(cosx) ^[(cotx) ^2]
lim(x->0)(cosx) ^[(cotx) ^2]
=e^[lim (cotx)^2*lncosx]
=e^[lim (cotx)^2*ln(1+cosx-1)]
=e^[lim (cotx)^2*(cosx-1)]
=e^[lim (1/x^2)(-1/2)x^2]
=e^(-1/2)