(Solution) - Let fa x a where 2 denotes the L2 norm on -(2025 Original AI-Free Solution)

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Let fa(x) =

a.
where ||?||2 denotes the L2 norm on (- ?,?)
(b) ||fa||? = ?a , where ||?|| denotes the L? norm on (- ?, ?).
(c) Use this example to explain why having a small least squares error does not necessarily mean that the functions are everywhere close.