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- 7. Use the binomial series to expand the function as a power series. State the radius of convergence. (a) VI- 8x (b) (1 – x)²/3 (c) 4+ x2Suppose the power series Eq(x – a)* has an interval of convergence of (-3,7]. Find the center a and the radius of convergence R.Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}