Question

求极限(1)x趋向于0,lim3x/tan3.(2)x趋向于无穷,lim(x/1+x)的x次方

Answer 1

第一问不会 抱歉

x/(1+x)=(x+1-1)/(x+1)

=1-1/(x+1)

令1/a=-1/(1+x)

则a趋于无穷

x=-a-1

所以原式=lim(1+1/x)^(-a-1)

=lim[*1+1/x)^a]^(-1)*1/(1+1/a)

=e^-1*1

=1/e