Prove that n n as long as n 2 n is shorthand for n n-1n-2
Question: 1. Show that ((n+1)!)n ≤ 2!· 4!···(2n)!.
2. Show using induction that for n ∈ N,
3. Prove that n! n as long as n ≥ 2. (n! is shorthand for n ·(n-1)·(n-2)· ...3 · 2 · 1.)
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