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Card 10 / 11:
binomial series
the Maclaurin series for f ( x ) = ( 1 + x ) r ; it is given by ( 1 + x ) r = ∑ n = 0 ∞ ( r n ) x n = 1 + r x + r ( r − 1 ) 2 ! x 2 + ⋯ + r ( r − 1 ) ⋯ ( r − n + 1 ) n ! x n + ⋯ for | x | < 1
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