Question

这道高数极限题看不懂？

Answer 1

具体的解析过程如下图所示

Answer 2

根据泰勒公式
f(x) = f(0) +f'(0)x +o(x)
f(x) = cotx =>f(0)=1
f'(x) = -(cscx)^2 => f'(0) = -1
x->0+
cotx = 1-x +o(x)
lim(x->0+) (cotx) ^(sin3x)

=lim(x->0+) (1-x) ^(3x)
=e^(-3)