n (a) Prove that the series vn + 2.c - Vn+ 3 Σ n=1 (i) converges pointwise for all x € [0, 0); (ii) can be approximated

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n (a) Prove that the series vn + 2.c - Vn+ 3 Σ n=1 (i) converges pointwise for all x € [0, 0); (ii) can be approximated

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n (a) Prove that the series vn + 2.c - Vn+ 3 Σ n=1 (i) converges pointwise for all x € [0, 0); (ii) can be approximated to arbitrary accuracy by a polynomial, uniformly for x € [0,1]. (b) Evaluate n lim n+ 72 7T | * ? sin(x+1/n2)” – 30 da, 8—11
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