2j f(2) = (z + 1)(z + 2)
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Find Laurent series function f(z) for given intermediate circle 0 < |Z + 1| < 1 if
f(z) = (2*j)/((z +1)*(z + 2))
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- In general, if f(x) Tn O O [ f(x) dx > Tn Since, M is the area under ---Select--- ✓to the graph of f(x), then f"(x) OM,> [ f(x) dx < [°r(x) dx OM₁ < f(x) dx OMn< f(x) dx Thus, T< < [*r(x) dx < M₁² ✓ the graph. Therefore, we have which of the following?11. (a) Find the Fourier series of the 27-periodic function given on the interval -<< π by f(x) = sinx. (b) Plot several partial sums to illustrate the convergence of the Fourier series.Consider a function f which is continuous on (-∞, 1) and (1, ∞o), has a vertical asymptote x = 1, has a horizontal asymptote y = 0, and for which the following conditions hold: f(-2) = -1, f(-1) = -2, f(0) = 0, ƒ(2) = 2 f'(x) > 0 on (-1,1) f'(x) 0 on (-2, 1), (1, ∞) f"(x) <0 on (-∞, -2) f"(x) = 0 at x = -2. Sketch the graph of f(x). ch..
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