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Problems for Chapter I
15
Problems for Chapter I
1. Produce a set A such that r(n) > 0 for all n in 1 ≤ n ≤ N,but
√
with |A|≤ 4N + 1.
2. Show that every set satisfying the conditions of (1) must have
√
|A|≤ N.
3. Show directly, with no knowledge of Stirling’s formula, that n! >
n n
( ) .
e
