# 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

×