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[2] Theorem If the power series 2 cn(x - a)\" has radius of convergence R > 0, then the function f dened by f(x)=co+01(xa)+c2(xa)2+... (x - (1)2 2 (ii) Jx) dx = C + c0(x - a) + Cl (x _ a)n+1 The radii of convergence of the power series in Equations (i) and (ii) are both R. 2. Using methods of section 11.9, find the power series representation of f (x) = In(1 + x2) and the corresponding radius of convergence. Hints: more than one method is needed, and theorem 2 will be of great help