Use the formula for the binomial series: m(m–1)--(m-k+1),k + .. m(m-1)2 2! m(m–1)…-(m-k+1) if (1 + x)" = 1+ mx + k! = 1+ E% |x| < 1 k! to obtain the Maclaurin series for V1 + x. 00 1 + Σ E(-1)*+14 · 9 · 14..(5k – 6) k! k=2 E(-1)*2 · 14.…-(5k – 6) 5k k! k=1 + E(-1*+14 · 9 · 14...(5k – 6) 5k k! 1+ k=2 00 - 9 · 14.…(5k – 6) 5k k! k=2 9 · 14..(5k – 6) 1+ E 00 k! k=1

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