# Great Wall Of Cosine (The answer's Over 9000)!

**Calculus**Level 5

Given that the maximum value of:

\[f(x)=\lim _{ n\rightarrow \infty }{ \left( \sum _{ k=0 }^{ x }{ { \cos { \left( k° \right) } }^{ n } } \right) } \] is \(A\), and given that

\(x\) ranges over the positive integers such that \(0\le x\le 360\)

\(n\) is an odd number even as it approaches \(\infty \)

that the sum of all the possible values of \(x\) which would give \(\left(f(x)=A\right)\) is \(B\)

Find \(\left\lfloor 100(A+B) \right\rfloor \)

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