# 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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