1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series of f. b) Sketch the graph of the function to which the series converges point- wise on R. Use the pointwise convergence theorem to justify your answer. c) By choosing a suitable value of x in the series that you have found, show that Ek=14k2 – 1 1 || 2° |

Q: If a power series for some function y = g(x) has interval of convergence (−2, 2], is it possible for…

A: If a power series for some function y = g(x) has interval of convergence (−2, 2], is itpossible for…

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A: We are authorized to solve only 1 question, please repost remaining questions

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A: soln: step1: write a fx as a power series centered at c=-1fx=22-xwe know general formula power…

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