1. Suppose that Ik : [a, bj -+ [0,00) for kEN and 00 f(x) := L fk(X)...
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1. Suppose that Ik : [a, bj -+ [0,00) for kEN and 00 f(x) := L fk(X)
k=1 converges pointwise on [a, bj. If f and Ik are continuous on [a, bj for each kEN, prove that
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