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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.6 Limits, #44 · Calculus · Limits

"For every … there is an … such that … if …."…

"For every $δ$ there is an $ε$ such that $∣ f (x) ∣ < ε$ if $∣ x ∣ < δ$ ." That test is twisted around. Find $ε$ when $f (x) = cos x$ , which does not converge to zero.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.6 Limits, #44

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