Question: We consider the rational function f(x) = p(x)/q(x) = 2x^2 + cx 4c/x^2 x 2 . Here c is an unknown constant. If the limit

We consider the rational function f(x) = p(x)/q(x) = 2x^2 + cx 4c/x^2 x 2 . Here c is an unknown constant. If the limit L = limx2 f(x) is a finite number, then what is c?

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