Question

lim(x→0）sin(x的n次方）/（sinx）的n次方

Answer 1

x→0,sinx和x是等价无穷小

x→0,x^n→0

所以sinx^n和x^n是等价无穷小

所以原式=lim(x→0)x^n/(sinx)^n

=lim(x→0)(x/sinx)^n

=1^n

=1