alleryA function f is continuous at x = a if:
Af is defined
Bf(a) = LHL = RHL (all three equal and finite)
Cf is positive
Df' exists
Answer & Solution
Correct answer: B. f(a) = LHL = RHL (all three equal and finite)
Continuity at a requires three conditions:
(i) f(a) is defined,
(ii) lim_(x→a) f(x) exists,
(iii) f(a) = lim_(x→a) f(x).
If any fails, f is discontinuous at a.
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