Find all the values of x such that the given series would converge. o0 1)ngn Z( ) n=1 n+ o Answer: Find the Maclaurin series and corresponding interval of convergence of the following function. H f(ac) = 1 + 5x f(2) = E n=0 The interval of convergence is:\fPart 1 Use differentiation and/or integration to express the following function as a power series (centered at x = 0). 1 f(2) = (3 + 20) 2 00 f (2) = > Part 2 Part 3The function f(x) = In(1 - x2) is represented as a power series f(a) = En- cnzen Find the FOLLOWING coefficients in the power series. Co = 91 = C2 = C3 C4 Find the radius of convergence R of the series. RThe function f(z) = In(7 ) can be represented as a power series of the form iz = Z cpx\" + C n=1 (@) Find the following coefficients of the power series. cl = = c3 (b) Find the value of the constant of integration. = (c) Find the radius of convergence R of the series. R =