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SOLVED: (a) State and prove the theorem giving the Weierstrass M-test. You may use the Cauchy convergence criterion without proof. [10] (b) Consider the functional series Li (c € (1,0)). Given the information that the functional series (*) is pointwise convergent, show that it is uniformly convergent on [@, 0o) for each (ii). Show that the formally differentiated series (obtained by differentiating term by term) is uniformly convergent on [a,0) for each. You may use without proof the inequalit
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