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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.7 Continuous Functions, #39 · Calculus · Continuity

Which of these functions are _continuous_, and why

Which of these functions are _continuous_, and why?
$f_{1} (x) = {sin x cos x x < 0 x > 1 f_{2} (x) = {sin 1/ x cos 1/ x x < 0 x > 1$
$f_{3} (x) = \frac{x}{sin x} when sin x \neq = 0 f_{4} (x) = x^{0} + 0^{x^{2}}$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.7 Continuous Functions, #39

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