自然数e的具体概念要求,详细请进?

2025-12-16 07:33:39
推荐回答(1个)
回答1:

(3)
lim(x->∞) (1+ 1/x) ^(x/2)
=[lim(x->∞) (1+ 1/x) ^x]^(1/2)
= e^(1/2)
(4)
lim(x->0) [ 1+ 3(tanx)^2]^(cotx)^2
=lim(x->0) [ 1+ 3(tanx)^2]^[1/(tanx)^2]
=lim(x->0) [ 1+ 3x^2]^(1/x^2)
=e^3