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x sin (nTx (1) Prove that the sequence fn(x) = converges uni- 23 + 13 formly on [0, 1). Hence calculate lim fn(x) dx. noo

x sin (nTx (1) Prove that the sequence fn(x) = converges uni- 23 + 13 formly on [0, 1). Hence calculate lim fn(x) dx. noo Jo

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