# Differentiation and Limit

Calculus Level 2

Function $$f(x)$$ is differentiable for all real numbers $$x$$ and satisfies $$\displaystyle \lim_{x \to \infty} f'(x)=3.$$ What is the value of $\lim_{x \to \infty} (f(x+3)-f(x-3))?$

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