# Limit Values

Calculus Level 3

Suppose $$f(x) = x^4 + ax^2 + bx$$ satisfies the following two conditions: $\lim_{x \to 2} \frac{f(x)-f(2)}{x-2} = 4,\;\; \lim_{x \to 1} \frac{f(x)-f(1)}{x^2-1} = 9.\$ What is the value of $$b - a$$?

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