Use the formula for the binomial series: m(m-1)2 + 2! m(m-1).(m-k+1),k + .. (1 + x)" = 1+ mx + ... k! 1 + 2 k=1' m(m–1).…-(m-k+1) k! if |x| < 1 to obtain the Maclaurin series for V1 + x. 1+* + T(-1)k+13 · 7 · 11…(4k – 5) , 4* k! k=2 3.7.11.(4k – 5). 4* k! k=2 1+ E(-17·11…(4k – 5) 4* k! k=1 00 +* + E(-1)k+13·7 · 11…·(4k – 5) 1 +x + 4 k! k=2 7. 11..(4k – 5) k 1+ 2 k! k=1

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