[理工] [離散]-90中山電機
題目是
prove the two equations:
(a)
1/(1-x) = 1+x+x^2+x^3+.......
(b)
1/(1-x)^2 = 1+2x+3x^2+4x^3+.......
請問這要從何證起?
(a)直接帶等比公式(b)兩邊再微分?
不過這題有10分,請問有啥比較嚴謹的證法嗎?
謝謝~
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