(1) A function f(x) can be expressed in terms of a Fourier transform f(x) = 2:an neta&quot;w&quot;. with 3e'z'l'(1 +e2i'' 2imr) 1 = 411.2112 3 5,71 =...
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Please help to solve the problem ATTACHMENT PREVIEW Download attachment 屏幕快照 2019-09-23 20.11.38.jpg (1) A function f(x) can be expressed in terms of a Fourier transform f(x) = 2::an neta—&quot;w&quot;. with 3e‘z‘l”(—1 +e2i'“ —2imr) £1 = 411.2112 3 5,71 = 0 .31th [30 points] Plotting this function poses a few challenges. First, the function is an inﬁnite sum. We cannot plot all the terms of the function. However. the terms for large Inl are less important that those for small Inl, such that the function converges [almost everywhere) if the sum is computed from n = —N to n = N, for some N. Plot the ﬁnite sums for N=3, 20, and 100 for x = —S to x = 5. Describe in words what you see happening as N increases. [20 points] What function did I use to calculate the values for 1;? Write down the integral that gives the value of ﬁl quoted above.

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