Let be differentiable at with and

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let gg be differentiable at x=2x=2 with g(2)=5g(2)=5 and g′(2)=−3g'(2)=-3. Determine lim⁡x→2g(x)−5x−2\displaystyle \lim_{x\to 2} \frac{g(x)-5}{x-2}.

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