If $\|\vec{x}\|$ denotes the Euclidean Norm of $\vec{x} \in R^n$, show that $$ \max\left\{|x_i|: 1 \leq i \leq n\right\} \leq \|\vec{x}\| \leq \sum_{i=1}^{n} |x_i| $$
2026-04-06 02:41:29.1775443289
Prove that $\max\{|x_i|: 1 \leq i \leq n\} \leq \|\vec{x}\| \leq \sum_{i=1}^{n} |x_i|$
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