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Class 12 Continuity And Differentiability · Conceptual Answer1 Markscontinuity_parameters

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #38

Let f(x)=kx/|x| for x<0 and f(x)=3 for x≥0. Find k for continuity at 0.

✅ Step-by-Step Solution

Final Answer: k=−3
  1. On the left x/|x|=−1, so the left limit is −k; the right limit and value are 3. Thus −k=3.
  2. k=−3

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] On the left x/|x|=−1, so the left limit is −k; the right limit and value are 3. Thus −k=3.
  • [0.5 marks] k=−3

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