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Class 12 Continuity And Differentiability · Conceptual Answer1 Markscontinuity_parameters

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #36

For x≠3, f(x)=(x²−9)/(x−3), and f(3)=k. Find k for continuity at 3.

✅ Step-by-Step Solution

Final Answer: k=6
  1. For x≠3 the quotient factors to x+3, whose limit at 3 is 6. Set f(3)=k equal to that limit.
  2. k=6

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] For x≠3 the quotient factors to x+3, whose limit at 3 is 6. Set f(3)=k equal to that limit.
  • [0.5 marks] k=6

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