Poly fun

Algebra Level 4

f(x) is a polynomial function with positive integral coefficients degree of f is greater than or equal to 1 \[\frac{f(f([x])+1)}{f([x])}=k\] \[x\epsilon[a+1,b)\] k takes 3 value a,b,c The equation (x-a)(x-b)(x-c)=1 whose roots are given by \[x_{i}\]then \[\sum_{i=1}^{3}lim_{m\rightarrow\infty}lim_{n\rightarrow\infty}(cos(\pi n!x_{i}))^{m}=a\]

find (a+b) find a+b

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