Für eine relle Zahl a und eine natürliche Zahl k werde der allgemeine Binomi- alkoeffizient wie folgt definiert α k = k II i=1 α+1 - - - 1 − i __ a(a − 1) ... (a − k + 1), k! mit α = = 1. 0 (b) Man beweise für alle reellen Zahlen x, y und für alle n = N, dass = (+)-(-) (%) gilt. Tipp: Orientieren Sie sich am binomischen Lehrsatz. Satz 2.44: Binomischer Lehrsatz Für a, b Є R und n = N gilt n (a + b) = (n) • (^) k=0 k α q n − k fk

Q: 2. Show that for any real number c, there is exactly one integer in the interval (c,c + 1].

A: As per guidelines, I can do only first question.

Q: the statement below true or false for n=1? ©George Mason University 2+ 4 + 6+ ... + 2n = n² + n + 1

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A: see below the reason

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Q: (4 – 2æ)".

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A: Given  A = Empty set  To find : P(P(P(empty set)))

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A: The objectives to use geometry sum identity to prove the following expression.

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A: We have to prove the given identity

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Q: Discrete Mathematics: Prove that for all real numbers x, y, and z, if x + y + z ≥ 3, then either x ≥…

A: We will prove by method of contradiction

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