Question: Let x Rn and show that (a) ||x||1 < n||x|| (b) ||x||1 < n||x|| Give examples of vectors in Rn for which equality holds

Let x ∈ Rn and show that
(a) ||x||1 < n||x||∞
(b) ||x||1 < √n||x||∞
Give examples of vectors in Rn for which equality holds in parts (a) and (b).

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