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Class 12 Continuity And Differentiability · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Continuity And Differentiability · Assertion Reason #27

Assertion: If f(x)g(x) is continuous at a, then f and g are separately continuous at a. Reason: Continuity at a means limₕ→₀f(a+h)=f(a).

✅ Step-by-Step Solution

Final Answer: Option (D): A is false, but R is true.
  1. Take f(x)=x and g(x)=sgn x, with g(0)=0. Their product |x| is continuous at 0 but g is not. The reason is the definition of continuity.

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