Which two of the functions f(x) 1, g(x) x, h(a) sin x are closest to each other on the interval 0, 1 under (a) The L1 norm (b) The L2 norm (c) The Lx norm

Question: Which two of the functions f(x) = 1, g(x) = x, h(a) = sin x are closest to each other on the interval [0,

Which two of the functions f(x) = 1, g(x) = x, h(a) = sin π x are closest to each other on the interval [0, 1 ] under
(a) The L1 norm?
(b) The L2 norm?
(c) The Lx norm?

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