Calculus 1 Quiz
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DERIVATIVES: DEFINITION & RULES
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For a function f(x)f(x), the expression f(x)−f(3)x−3\frac{f(x) - f(3)}{x-3} represents the slope of a secant line through the points (3,f(3))(3, f(3)) and (x,f(x))(x, f(x)). What does the quantity lim⁡x→3f(x)−f(3)x−3\lim_{x \to 3} \frac{f(x) - f(3)}{x-3} represent?
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