Description: For the equidistant partition, Xi =- 5+ ih, h = 10/n, i = 0,1, ... ..., n, and Runge' s function is given y = 1/(1+ x2) for the Lagrange interpolation, calculated taking n = 10,20 interpolation polynomial Pn (x) at x = 4.8 at the error, and an analysis method with Romberg extrapolation pi Π = ∫ 4/(1+ X2) dx, demand absolute error limit of small at 0.5 × 10-8
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