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Dec 02, 17 · write the following in expanded form(ii) the difference bet(1) (iii) ce value of 6. Section 128 Lagrange Multipliers In many applied problems, a function of three variables, f(x;y;z), must be optimized subject to a constraint of the form g(x;y;z) = c. F(z) = X∞ n=0 anz n be a power series with nonnegative coefficients, with radius of convergence 1 Prove that the point 1 is singular (that is f cannot be analytic in any region containing the unit disc and the point 1) Hint reexpand the series about the point 1/2 3 Consider the functional equation f′(z) = f(kz), f(0) = 1 (1) Prove.
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