Given f(x)=x2+1−xf(x) = \sqrt{x^2+1} - xf(x)=x2+1−x, determine the behavior of f(x)f(x)f(x) as x→∞x \to \inftyx→∞.
The limit is 0.
The limit is 1.
The limit is ∞\infty∞.
The function oscillates.