Let and . Determine a value of expressed in terms of such that if , then…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)=5x+1f(x)=5x+1 and ε>0\varepsilon>0. Determine a value of δ>0\delta>0 expressed in terms of ε\varepsilon such that if 0<∣x−2∣<δ0<|x-2|<\delta, then ∣f(x)−11∣<ε|f(x)-11|<\varepsilon.

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