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- Prove how Newton's method gives superlinear convergence?Which type of polygons are made under curve in trapezoidal and Simpsons 1/3rule? What is order of convergence?drive the order of convergence of trapezoidal and Simpsons 1/3rule1) radius of convergence using Cauchy-Hadamard formula,2) the preliminary interval of convergence (without ends),3) convergence at the ends of the interval of convergence,4) the interval of convergence