# Recursion Cursion Cursion

Calculus Level pending

Let $$F(x)$$ represent the x-th term of a sequence defined by $$F(x+1) = F(x) + F(x-1)$$, where $$F(1) =1, F(2) = 2$$.

Evaluate $$\displaystyle \lim_{x \rightarrow \infty} \dfrac{F(x+10)}{F(x)+F(10)}$$ to the nearest integer.

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