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(a) Prove that the series 00 - Σ in + 2x - vn + x n n=1 (i) converges pointwise for all x € [0, 0); (ii) can be approxim
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(a) Prove that the series 00 - Σ in + 2x - vn + x n n=1 (i) converges pointwise for all x € [0, 0); (ii) can be approxim
(a) Prove that the series 00 - Σ in + 2x - vn + x n 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 मा lim n-00 19 n- 3x sin(x + 1/n) dx, n+ 7x justifying your answer using an appropriate result from lectures.
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