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Mathematics 52 Online
OpenStudy (anonymous):

given assumptions:{f_n} n=1 to infinty be a sequence of real-valued functions defined on [a,b] and suppose fn of functions converges uniformly on E to a function f which is defined on [a,b].fn is integrable on [a,b] then f is also integrable and limn->infnty[integral a to b fn(x)dx]=integral a to b(f(x)dx).now i am writing how i solved:since the sequence fn(x) is uniformly convergent to f i.e |fn-f|

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