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(a) Prove that the series Q - vn + 2x – Vn + x Ỹ n n=1 (i) converges pointwise for all x E [0, 0); (ii) can be approxima
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(a) Prove that the series Q - vn + 2x – Vn + x Ỹ n n=1 (i) converges pointwise for all x E [0, 0); (ii) can be approxima
(a) Prove that the series Q - vn + 2x – Vn + x Ỹ n n=1 (i) converges pointwise for all x E [0, 0); (ii) can be approximated to arbitrary accuracy by a polynomial, uniformly for x E [0, 1]. (b) Evaluate TT lim no S." sin(x + 1/12) n - - 3x dx, n+ 7x justifying your answer using an appropriate result from lectures.
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