The series > n=1 1 (a) converges because lim = 0. n0 Vn (b) diverges because lim = 0. (c) converges because it is a p-series with p = 1/2. (d) diverges because it is a p-series with p= 1/2.

Using 1/(1-x), find a power series for f(x)= 3/(2x+5) and its interval of convergence. Write step by step.

Let 2 c,(x - 9)" be a power series with the radius n =0 convergence R= 0. Then Select one: а. The series 2 c,(x - 9)" is convergent at n = 0 X = 0 b. None of them С. The series c,(x - 9)" is convergent at n = 0 X = - 9 d. The series E c,(x - 9)" is divergent at n =0 X = 9 е. The series E c,(x – 9)" is convergent at n = 0 X = 9