QUESTION 3 [13 MARKS] Given a power series sum_{n=0}^{infty} frac{(x+2)^{n+1}}{(n+1)4^{n+1}}. (a) Find the radius of convergence for the power series. (b) Find values of x for which the power series (i) converges absolutely. (ii) converges conditionally. (c) State interval of convergence for the power series.
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