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Carly Roy

Carly Roy

Answered question

2022-05-26

Show ( n 0 ) 1 2 ( n 1 ) + . . . + ( 1 ) n n + 1 ( n n ) = 1 n + 1

Answer & Explanation

vrhnjemuvs

vrhnjemuvs

Beginner2022-05-27Added 4 answers

Explanation:
f ( x ) = ( x 1 ) n = k = 0 n ( n k ) ( 1 ) n k x k
then 0 x f ( x ) = ( x 1 ) n + 1 ( 1 ) n + 1 n + 1 = k = 0 n ( n k ) ( 1 ) n k x k + 1 k + 1 now x = 1.

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