Find the first three terms in the expansion of
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Find the first three terms in the expansion of
a) (x-1)*(-2) b) (x-1)*(1/2)
补充:"*"是“次方”
中文的意思应该是:找出扩展后的前三项
a) (x-1)*(-2) b) (x-1)*(1/2)
补充:"*"是“次方”
中文的意思应该是:找出扩展后的前三项
a) (1-x)^(-2)=(1+ -x)^(-2) 由 迈克劳林级数 展开 前三项
=1-x/2+3x^2
b) (x-1)^(1/2)=(1+(x-2))^(1/2) 由 迈克劳林级数 展开 前三项
=1+(x-2)/2-(x-2)^2/8
迈克劳林级数 (1+x)^a=1+ax+a*(a-1)*x^2/2!+……+[a*(a-1)……(a-n+1)*x^n/n!]+……
=1-x/2+3x^2
b) (x-1)^(1/2)=(1+(x-2))^(1/2) 由 迈克劳林级数 展开 前三项
=1+(x-2)/2-(x-2)^2/8
迈克劳林级数 (1+x)^a=1+ax+a*(a-1)*x^2/2!+……+[a*(a-1)……(a-n+1)*x^n/n!]+……
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