For the function

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

Problem

For the function g(x)=7−4xg(x)=7-4x, determine the largest value of δ\delta that guarantees ∣g(x)−3∣<0.05|g(x)-3|<0.05 whenever 0<∣x−1∣<δ0<|x-1|<\delta. (a) 0.050.05 (b) 0.01250.0125 (c) 0.20.2 (d) 0.0250.025

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