Use the formula for the binomial series: (1 + x)" = = to obtain the Maclaurin series for (k + 7)! 1 + 8x + Σ k! k=2 1+ Σ (k + 8)! k! 8! 00 1 - 8x + 9! Σ(-1)+1 + 7! (+7 k! k=2 00 1 1 - 8x + Σ+1+7! 7! k! k=2 00 1 – 8x + k Σ (1) + 9! k! k=2 00 |- 1 (1 + x)8' με 1 + mx + έχ2 + ... + m(m-1) 2! m(m-1)...(m-k+1) k! 1+ Σκι m(m-1).(m-k+1) k! [x] < 1 exk if ark +

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