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(1 point) A Cantor expansion is a sum of the form a,n! + 0,-1(n-1)! + ... 222!+ 2,1! where 0 Sa si are integers for
(1 point) A Cantor expansion is a sum of the form a,n! + 0,-1(n-1)! + ... 222!+ 2,1! where 0 Sa si are integers for i = 1,2,.... For example, the Cantor expansion of 17 is 17 = 2(3)+2(21) + (1!). Note that 17 = 1(3!) + 5(2!) + 1(1) is correct but is not a valid Cantor expansion of 17 since we insist the coefficient of nl is no more than n. Thus the coefficient of 21 should be a 0,1 or 2 for example, Complete the following Cantor expansions of: (a) 17 - II (3) !!! (21) + (b) 134 - 13 (5!) (c) 22 - (31) +
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