Question: Plz help me solve 3c and 3D step by step (3) Find the domain of convergence of each series (note: whereas the first two cases

 Plz help me solve 3c and 3D step by step (3)

Plz help me solve 3c and 3D step by step

Find the domain of convergence of each series (note: whereas the first

(3) Find the domain of convergence of each series (note: whereas the first two cases are power series (centred at zero and at one, respectively), the other cases are not even power series at all!): (a) E n=1 (b ) (-1)"(x - 1)n M 2" (3n - 1) n=1 1 (c ) > n(1 + x2)n' n=1 - x n (d) E n' 1+x n=1 ent (e) E n2 - n+1 n=1 Answer: (a) I = [-1, 1]; (b) I = (-1,3]; (c) I = R \\ {0} = (-00, 0) U (0, too); (d) I = (0, too); and (e) I = (-oo, 0]

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