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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.6 Limits, #26 · Calculus · Limits

(3)

Which does the definition of a limit require?

(1) $∣ f (x) - L ∣ < ε \Rightarrow 0 < ∣ x - a ∣ < δ$ .

(2) $∣ f (x) - L ∣ < ε \Leftarrow 0 < ∣ x - a ∣ < δ$ .

(3) $∣ f (x) - L ∣ < ε \Leftrightarrow 0 < ∣ x - a ∣ < δ$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.6 Limits, #26

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