. Determine the interval and radius of convergence of (-1)^n² 4n+1 ∞ n=0 -(4x - 2)²
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- Test (-1)", for convergence or divergence. 2n2+1If x1, y1, are two positive unequal numbers and xn = (xn-1+ yn-1)/2 and yn= sqrt(xn-1yn-1) for all n>=2, Prove that the sequences <xn> and <yn> are monotonic and they converge to the same limit. *Prove each stepFind the radius of convergence and interval of convergence of Σ 1 to infinity (((-1)^n-1)(x-1)^n)/((2n-1)(2^n))