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in Limits and Continuity by (47.0k points)
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Let a function f be defined by f(x) = (x - |x|)/x for x ≠ 0 and f(0) = 2. Then f is …

(a) Continuous nowhere 

(b) Continuous everywhere 

(c) Continuous for all x except x = 1 

(d) Continuous for all x except x = 0

1 Answer

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by (49.2k points)
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Best answer

(d) Continuous for all x except x = 0

∴ f(x) is not continuous at x = 0 

⇒ f(x) is continuous for all except x = 0

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