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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.7 Continuous Functions, #1 · Calculus · Continuity

, find the numbers c that make f(x) into (A) a continuous function and (B) a differentiable function. In one case f(x) → f(a) at every point, in the other case Δf/Δx has a limit at every point.

$f (x) = {sin x c x < 1 x \geq 1$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.7 Continuous Functions, #1

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