高数这道题怎么解43题?
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x->0
e^x = 1+x+(1/2)x^2+(1/6)x^3+o(x^2)
e^x -(ax^2+bx+c)
=(1-c)+(1-b)x+(1/2-a)x^2+(1/6)x^3+o(x^3)
比x^2高阶
=>
1-c=0 and 1-b=0 and 1/2-a=0
c=1 and b=1 and a=1/2
e^x = 1+x+(1/2)x^2+(1/6)x^3+o(x^2)
e^x -(ax^2+bx+c)
=(1-c)+(1-b)x+(1/2-a)x^2+(1/6)x^3+o(x^3)
比x^2高阶
=>
1-c=0 and 1-b=0 and 1/2-a=0
c=1 and b=1 and a=1/2
追问
没有这个答案
追答
不好意思,看错题目
x->0
e^(x^2) = 1+x^2+(1/2)x^4+o(x^4)
e^(x^2) -(ax^2+bx+c)
=(1-c)-bx+(1-a)x^2+(1/2)x^4+o(x^4)
比x^2高阶
=>
1-c=0 and -b=0 and 1-a=0
c=1 and b=0 and a=1
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