Help me to solve this question please

1. Find the interval of convergence and radius of convergence of the following power series: ) Z (39?)"' n (d) 2 3\"(n+ 1) 3 G (e) i m ) i m" \"= n 11:0 2. Using methods of section 11.9, nd the power series representation of f(w) = ln(l + 1122) and the corresponding radius of convergence. Hints: more than one method is needed, and theorem 2 will be of great help! [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