Question: n f n ( x ) = n x 1 + n x , xin [ 0 , 1 ] , . ( a )

n
fn(x)=nx1+nx,xin[0,1]
,.
(a){fn}f finR[0,1].
(b){fn}f.
(c)
limn01fn(x)dx=01[limnfn(x)]dx
.
n f n ( x ) = n x 1 + n x , xin [ 0 , 1 ] , . ( a

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