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coefficiient-of-x-60-P-x-1-x-2-1-x-3-1-x-15-1-




Question Number 155533 by mnjuly1970 last updated on 01/Oct/21
     coefficiient of    x^( 60)  = ?       P = (x−1)(x^( 2) −1)(x^( 3) −1)...(x^( 15) −1)
coefficiientofx60=?P=(x1)(x21)(x31)(x151)
Answered by qaz last updated on 02/Oct/21
(1/(2πi))∫_(∣z∣=ε) (((z−1)(z^2 −1)(z^3 −1)...(z^(15) −1))/z^(61) )dz
12πiz∣=ϵ(z1)(z21)(z31)(z151)z61dz

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