p(x)为二次三项式,要使得ex=p(x)+o(x2)(x→0),则p(x)=___________.

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问题 p(x)为二次三项式,要使得ex=p(x)+o(x2)(x→0),则p(x)=___________.

选项

答案[*]x2+x+1

解析 设p(x)=ax2+bx+c,由题意知,当x→0时,ex一p(x)=o(x2),
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