Question: ( R u d i n , C h . 7 , Exercise 2 0 ) Prove that i f f i s continuous o

(Rudin,Ch.7, Exercise 20) Prove that iffis continuous on0,1 and if
01f(x)xndx=0
for all ninN, then f(x)=0on0,1.
( R u d i n , C h . 7 , Exercise 2 0 ) Prove that

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