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Consider the polynomial: f(x)= x^5- 300x^3- 126x+ 5005 which has a root alpha= 5. Also consider the perturbed function F_e(x)= f(x)- epsilon x^5= (1- epsilon)x^5- 300x^3- 126x+ 5005 where epsilon is a small number. Letting alpha(epsilon) denote the perturbed root of F_e(x)= 0 corresponding to...

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