# Knowing Limits

Calculus Level pending

A function $$f(x)=\frac{Ax^3+Bx^2+Cx+D}{x^2+x-2}$$ satisfies both $$\displaystyle \lim_{x \to 1} f(x)=2$$ and $$\displaystyle \lim_{x \to \infty} f(x)=1$$. What is the value of $$f(4)?$$

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