来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/16 12:32:37
急求一道高数幂级数展开式的详解,
f(x) = (x-1)*2^x = 2(x-1)*2^(x-1)
= 2(x-1)*e^[ (x-1) ln2 ]
= 2(x-1) * { 1 + (x-1)ln2 + [ (x-1)ln2]^2 / 2!+ [ (x-1)ln2]^3 / 3!+…… }
= 2(x-1) + 2(x-1)^2 ln2 + (x-1)^3 (ln2)^2 + 2(x-1)^4 (ln2)^3 / 3!+……
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