Values of three functions are given for near

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Values of three functions are given for xx near 00. x | −0.10 | −0.01 | 0.01 | 0.10 f(x) | 2.998 | 2.99998 | 3.00002 | 3.002 g(x) | 1.998 | 1.99998 | 2.00002 | 2.002 p(x) | 4.10 | 4.01 | 3.99 | 3.90 Estimate lim⁡x→0(f(x)−3g(x)−2)p(x)\displaystyle \lim_{x\to 0} \left(\frac{f(x)-3}{g(x)-2}\right)p(x). (a) 6 (b) 4 (c) 1 (d) 2

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