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Class 12 Continuity And Differentiability · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Continuity And Differentiability · Assertion Reason #28

Assertion: If f,g are continuous at 0, f(0)=3 and g(0)=2, then limₓ→₀[f(x)+g(x)]=5. Reason: When both functions are continuous at a, the limit of their sum equals the sum of their limits.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. Apply the sum limit rule and continuity to get f(0)+g(0)=3+2=5.

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