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Given that limx→1f(x)=2 \displaystyle \lim_{x\to1} f(x) = 2 x→1limf(x)=2 and limx→2f(x)=1 \displaystyle \lim_{x\to2} f(x) = 1 x→2limf(x)=1. What is limx→1f(f(x)) \displaystyle \lim_{x\to1} f(f(x)) x→1limf(f(x))?
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