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Class 12 Continuity And Differentiability · Conceptual Answer1 Markscontinuity_parameters

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #111

For x≠3, f(x)=[(x+3)²−36]/(x−3), and f(3)=k. Find k for continuity at 3.

✅ Step-by-Step Solution

Final Answer: k=12
  1. Factor the numerator as (x−3)(x+9), so the punctured expression is x+9→12.
  2. k=12

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Factor the numerator as (x−3)(x+9), so the punctured expression is x+9→12.
  • [0.5 marks] k=12

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