Let fa(x) = a. where ||||2 denotes the L2 norm on (- ,) (b) ||fa|| = a , where |||| denotes the L norm on

Let fa(x) =

a.

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

V l + a4 . Prove that