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Class 12 Continuity And Differentiability · Conceptual Answer1 Markscontinuity_parameters

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #110

Let f(x)=arcsin(x)/x for x≠0 near 0, and f(0)=k. Find k for continuity at 0.

✅ Step-by-Step Solution

Final Answer: k=1
  1. Since arcsin x/x→1 as x→0, the continuous extension must have value k=1.
  2. k=1

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Since arcsin x/x→1 as x→0, the continuous extension must have value k=1.
  • [0.5 marks] k=1

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