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10 questions from this quiz
(a+b)n(a + b)^n(a+b)n where nnn is any real number
∣x∣<1|x| < 1∣x∣<1
n!k!(n−k)!\frac{n!}{k!(n-k)!}k!(n−k)!n!
An infinite series
n(n−1)(n−2)…(n−k+1)k!\frac{n(n-1)(n-2)\dots(n-k+1)}{k!}k!n(n−1)(n−2)…(n−k+1)
−18-\frac{1}{8}−81
To give an approximate expansion
Repeated binomial theorem or multinomial expansion
Express as 212(1−3x2)122^{\frac{1}{2}}(1 - \frac{3x}{2})^{\frac{1}{2}}221(1−23x)21
Series may diverge
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