function on C [a , 6 ].

3 . Let C|[0 , 1] be the subspace of C[0, 1] consisting of all FEC [0, 1] such that } is

differentiable and {‘EC10 , 1]. Give C’10 , 1] the metric of C [0 , 1]. Define I : C$ 10, 1]

– C [0, 1] by

If = f’

( FEC\ [0 , 17 ).

Show that IT is not continuous .

Math

Solve