一道让我很郁闷的高数求极限

lim(x->0+){[cos(x^(1/2))]^(1/x)}
说句实话，看着有点晕

[解决办法]
lim(x->0+)(1-sin^2(x^(1/2)))^(1/2x)

=lim(x->0+)(1-x)^(1/2x)
=e^(1/2)