一道微积分题目求解释

2024-11-07 08:40:48
推荐回答(1个)
回答1:

taylor展开算了.
e^x = 1 + x + x^2 / 2 + x^3 / 3!+ .
(1 + x + x^2 / 2 + o(x^2))(1+Bx+Cx^2)=1+Ax+o(x^2)
((1+Bx+Cx^2) + (x+Bx^2+o(x^2)) + (x^2 / 2 + o(x^2)) + o(x^2))=1+Ax+o(x^2)
1 + (1+B)x+(C+B+1/2)x^2 + o(x^2) = 1 + Ax + o(x^2)
1 + (1+B)x+(C+B+1/2)x^2 + o(x^2) = 1 + Ax + o(x^2)
= = 我忘了o(x^2)包不包括x^2了.
= = 好吧根据楼上的,不包括
A=1+B.