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Construct a sequence of interpolating values \(y_n\) to \(f(1 +\sqrt{10})\), where \(f(x)= \frac{1}{1+x^2 }\) for \(−5≤x≤5\), as follows: For each \(n = 1,2,…,10\), let \(h =\frac{10}{n}\) and \(y_n= P_n (1+\sqrt{10})\), where \(P_n(x)\) is the interpolating polynomial for \(f(x)\) at nodes \(x_0^n,x_1^n,…,x_n^n=−5+jh\), for each \(j=0,1,2,…,n\). Does the sequence \({y_n }\) appear to converge to \(f(1+\sqrt{10} )\)?

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