Consider the polynomial: f(x)= x^5- 300x^3- 126x+ 5005(adsbygoogle = window.adsbygoogle || []).push({});

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 alpha(0)= 5, approximate alpha(epsilon)- 5.

The problem I'm having is that I don't understand what the question is asking.

I tried looking at a few perturbed function question but I can't seem to get it

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# Perturbed function

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