Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=1 ... k! m(m-1).(m-k+1) 1지 < 1 k! 1 to obtain the Maclaurin series for (1 + x)* (k+ 3)* 00 1 + k! k=1 1- 3x + -1)*«+ 4)! 2! k=2 k! 1– 3x +–(-1)*& + 2)! k! k=2 412(-1)*+1 (k + 2)! k! 1- 3x + k=2 (k+2).* 1+ 3x + 2 k! k=2

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